Which word means to stimulate someone to action?

The correct answer is "inspire." This word means to fill someone with the urge or ability to do or feel something, particularly something creative or beneficial. When you inspire someone, you stimulate them to take action, often by providing encouragement or motivation. For example, a great speech can inspire someone to pursue their dreams or make a significant change in their life.

In this context, the other words do not carry the same connotation of encouraging action. "Inculcate" involves instilling an idea, habit, or attitude through persistent instruction, but it does not necessarily convey a sense of inspiration. "Innervate" refers to supplying an organ or body part with nerves, which is a physiological term and not related to stimulating action in a motivational sense. "Induce" means to bring about or give rise to something, which can imply causing an action but lacks the motivational aspect that "inspire" embodies. Therefore, "inspire" is the most fitting choice when looking for a word that denotes stimulating someone to take action.