Here is a step by step on how to get through Chapter 4:
Hop into the mine cart.
Follow the quick time events on the mine cart.
Credit to IGN. At the end of the quick time events, a cut scene should roll out and the achievement should pop moments later. If it does not for some reason, it will come up at the start of the next chapter.
If you need help or want an idea of what to expect, here is a video of this chapter:
Credit to Hungry Panda Studios.