Final answer:
The repeating decimal 4.715 continues with the digits '7157', so the next four digits after the decimal are '7157', making option A the correct answer.
Step-by-step explanation:
The question asks to determine the next four digits in a repeating decimal. The repeating decimal given is 4.715 and we need to identify which continuation of this pattern corresponds to repeating digits. The repeating part of the decimal is '715', so after the initial '4.' we repeat '715'. Applying this logic, the next four digits after the decimal will be '7157'. Therefore, the correct answer is A. '7157'. It is important to recognize the repeating cycle in the decimal to select the correct answer.