Final answer:
The entrepreneur was successful, as indicated by the word 'prevailed'. Thus, the correct answer is B) Flourished, meaning the company thrived.
Step-by-step explanation:
The sentence provided indicates that the entrepreneur was successful in overcoming challenges to make his company a success. Therefore, the correct answer is B) Flourished, which means to grow or develop in a healthy or vigorous way, especially as the result of a particularly favorable environment. The other options, Failed, Faltered, and Floundered, indicate a lack of success or struggle, which is contrary to the sense of the sentence provided.