Which of the following kings of Vijayanagara took the title of ‘establisher of the Yavana kingdom’?

The correct answer is Krishna Deva Raya.

Step-by-step Historical Context:
1. The Title's Significance: The title 'Yavana-rajya-sthapana-acharya' translates to the "establisher/restorer of the Yavana kingdom" (where 'Yavana' historically referred to the Bahmani or Bidar Sultanate in this context).
2. Historical Event: Following a war of succession in the Bidar Sultanate, Mahmud Shah Bahmani II was imprisoned by his powerful minister, Amir Barid. The Vijayanagara Emperor, Krishna Deva Raya, launched a military campaign, defeated the rebellious forces, marched to Bidar, and restored Mahmud Shah II to his rightful throne.
3. Adoption of the Title: To commemorate this act of restoring the rightful Muslim ruler to the Bahmani throne (re-establishing the Yavana kingdom), Krishna Deva Raya assumed the formal title of 'Yavana-rajya-sthapana-acharya'.