The correct chronological order is: Babar (1526-1530) founded the Mughal Empire, Humayun (1530-1540, 1555-1556), Akbar (1556-1605) expanded it greatly, Jahangir (1605-1627), Shahjahan (1628-1658) built the Taj Mahal, and Aurangzeb (1658-1707) expanded it to its greatest extent but also sowed seeds of decline.