This page explains how to complete the level 90 post-Endwalker quest "A Satrap's Duty".
This quest is available if you have completed the quest Void Theory.
Starting the Quest
Talk to Y'shtola in Weaver's Warding (accessible from Thavnair) to begin the quest. There will be a cutscene.
Speak with the Junior Ironworks Engineer
Go north to where the orange arrow is pointing in the minimap. Talk to the Junior Ironworks Engineer to proceed. There will be a cutscene.
Speak with Nidhana
Teleport to the Great Work and go to the quest icon on the map. Talk to Nidhana to proceed. There will be a cutscene.
Speak with Y'shtola
Talk to Y'shtola to proceed.
Speak with Varshahn Outside Meghaduta
Teleport to Radz-at-Han or go outside and go northwest through the gate into Radz-at-Han. Use an Aethernet Shard or the Aetheryte to go to Meghaduta. Go up the stairs and talk to Varshahn to complete the quest. There will be a cutscene.
Next Main Scenario Quest
After you complete the quest, talk to Varshahn to accept the next quest: In Search of Azdaja.