The question asks for the chronological order in which the listed monuments were built.

Option 1: III (Qutub Minar), I (Tughlaquabad Fort), IV (Fatehpur Sikri), II (Lodi Garden).

Option 2: III (Qutub Minar), I (Tughlaquabad Fort), II (Lodi Garden), IV (Fatehpur Sikri). This is the correct answer. Qutub Minar was constructed in 1192, followed by Tughlaquabad Fort around 1321, next is Lodi Gardens built in the 15th century during the rule of the Lodi dynasty, and finally Fatehpur Sikri was built in 1571 during the rule of Emperor Akbar.

Option 3: I (Tughlaquabad Fort), III (Qutub Minar), II (Lodi Garden), IV (Fatehpur Sikri). This cannot be the correct order as Tughlaquabad Fort was built after Qutub Minar.

Option 4: I (Tughlaquabad Fort), III (Qutub Minar), IV (Fatehpur Sikri), II (Lodi Garden).