Which of the following rulers extended the Incan Empire north to present-day Ecuador and south to present-day Argentina and Chile?

It was Huayna Capac who extended the Incan Empire north to present-day Ecuador and south to present-day Argentina and Chile.

Huayna Capac was the successor to Inca Yupanqui, his father, and the third Sapa Inca, that is, the Emperor of the Inca Empire. He continued the expansion of the Inca Empire, known as Tawantinsuyu, that his father had started.

Besides extending the Empire to present-day Chile, Argentina and Ecuador, Huayna Capac also annexed southern Colombia. Furthermore, he was the one who developed Cochabamba in Bolivia as an important agriculture and administrative center. Huayna Capac made possible the expansion of the road network and he also rebuilt Tawantinsuyu by constructing temples and fortresses of stone to protect it.

It was Huayna Capac.