💡 Detailed Explanation
The correct answer is 「ぬく」 (nuku) as a suffix after a Masu-stem (走り→走りぬく), which means 'to do completely to the end despite difficulties'. 「きる」 also means 'to do completely' but lacks the nuance of enduring hardships. 「とおす」 is used for attitudes (貫き通す). 「かける」 means 'to begin to do/on the way of doing'.