You'll also need to complete a challenge, you should get some kind of daily challenge for the day. Mine for instance was on Nessus to complete the (Heroic) Unbreakable Adventure. You generate orbs by using your super, so try to use that as much as possible.
Once you've completed your bounty, you'll receive a location to track down your treasure. Riches await you somewhere near the Well of Flames on Nessus. Look to the area it describes, you'll notice a circle with an X marked through it. That's where you'll want to go to collect the rune. Mine was in the Well of Flame, I'm not sure if it's the same for everyone or not. I had to go pretty deep into the area to find it, look for a golden glowing chest. Again, I'm not sure if everyone gets the same runes or not. I got the Rune of Jubilation: Weapons rolled with this rune active are guaranteed to be Sniper Rifles.
Place the rune you received into your Chalice of Opulence to activate it. After that, we're going to head back to Watcher's Grave in Nessus and visit Werner 99-40 on the barge. He will give you another batch of high level gear if you are in need, and you will then be invited to go partake in the Menagerie on the Leviathan. While you are here, you should grab some of the bounties that Werner has available so you can get started on working towards completing those for the week. These unlock powerful gear and more runes for your Chalice. Calus has invited you to enter his Menagerie on the Leviathan. There, he promises you'll be able to unleash the true potential of your Chalice of Opulence. You must loot the final chest at the end of the activity in order to progress this quest. To locate the Menagerie, look at the map of Nessus and hover over Nessus Orbit to find it. Once you complete the Menagerie, you will finish the "A Taste of Power" Triumph, this will unlock an additional slot for your Chalice. For defeating whatever boss you faced in the Menagerie, you will get an additional 500 Imperials. Once you've collected both of those Triumphs, you will move onto the next part of The Invitation quest. You most likely have 1,000 Imperials, so the only upgrade you can purchase at the moment is the Power and Efficiency 1: Grants an additional weekly powerful reward from the final chest in the Menagerie and unlocks chests found on the Imperial Barge on Nessus. From here, we're going to be going back to the Imperial Barge. Return to Werner 99-40 on the Imperial Barge on Nessus and open the chest that awaits you. Once you've reached the barge, go to the top of it. At the back of the ship, you'll see a bunch of treasure chests. You can open each and everyone of these by paying 5k Glimmer Tithe, and you will gain a bunch of Runes and some more Imperials. From there, you can upgrade your Chalice of Opulence further and you can go head back into the Menagerie to gain some more loot! If you're curious what you can get by combining different Runes in your Chalice, then check out this awesome spreadsheet guide that displays all of the combinations. The Menagerie Event is pretty hectic, and there's quite a few parts to it. You will be matched up with five other players and attempt to make your way through the ship to collect the prize at the end. There's multiple sections you'll need to complete to make your way throughout the Menagerie.
Each one requires you to do something a bit different, and it culminates with a final boss. While the event states that it requires 690 Power Level, the rooms get harder if you take too long to complete them. You'll notice from time to time that the recommended power level will change.
It's also important to note that you cannot actually fail in the Menagerie (unless you just leave). While there is a timer, that is only really used to determine if you've completed it quick enough to gain a Triumph.