Final answer:
Pachacuti Yupanki was the Incan king who assumed control of Cuzco and the Inca Empire after a victory against the rival Chanka group. He oversaw the expansion of the empire, conquering much of modern Peru.
Step-by-step explanation:
The Incan king referred to in your question is Pachacuti Yupanki. He assumed control of Cuzco and the Inca Empire after a victory against the rival Chanka group. Pachacuti was an important leader who oversaw the expansion of the empire, conquering much of modern Peru. His successors also continued to expand the empire by adding territory to the south, east, and north.