Here are the eight examples of Indian sportspersons coming in fourth and missing out of a bronze medal in the Olympic games:

Dipa Karmakar at the 2016 Olympics in Rio (Gymnastics)
Sania Mirza and Rohan Bopanna at the 2016 Olympics in Rio (Tennis)
Abhinav Bindra at the 2016 Olympics in Rio (Shooting)
Joydeep Karmakar at the 2012 Olympics in London (Shooting)
Leander Paes and Mahesh Bhupathi at the 2004 Olympics in Athens (Tennis)
PT Usha at the 1984 Olympics in Los Angeles (Athletics)
Women’s hockey team at the 1980 Olympics in Moscow (Hockey)
Milkha Singh at the 1960 Olympics in Rome (Athletics)