Explanation:

- Rabindranath Tagore: Founded Shantiniketan near Bolpur on 22 December 1901. He established it as a school and later developed it into Visva-Bharati University, embodying his educational philosophy.

- Dr Rajendra Prasad: He was the first President of India. He played a significant role in Indian independence but had no direct connection to the founding of Shantiniketan.

- Durgabai Deshmukh: She was an Indian freedom fighter and social activist but not involved in the establishment of Shantiniketan.

- Gopal Krishna Gokhale: An Indian political leader and social reformer, but he did not found Shantiniketan.

Correct Answer: Option 2, Rabindranath Tagore.