The correct answer is option 3: 86th amendment in 2002. This amendment to the Constitution of India added Article 21A, which made education a fundamental right for children aged 6 to 14 years.

Option 1: 83rd amendment in 2003 is incorrect, as it does not pertain to the right to education.

Option 2: 83rd amendment in 2002 is also incorrect, as it does not relate to the right to education.

Option 4: 87th amendment in 2003 is incorrect, as it does not address the right to education.

Therefore, the correct amendment that made education a fundamental right is the 86th amendment in 2002.