Explanation:

- To find the correct number, let's analyze the series: 87, 89, 92, 97, 104, 115, ?, 145.

- Calculate the differences between consecutive numbers.

- Difference from 87 to 89 is 2.

- Difference from 89 to 92 is 3.

- Difference from 92 to 97 is 5.

- Difference from 97 to 104 is 7.

- Difference from 104 to 115 is 11.

- Notice a pattern of increasing prime numbers: 2, 3, 5, 7, 11.

- The next prime number is 13.

- Add 13 to the last number, 115: 115 + 13 = 128.

- Therefore, the number that fits is 128.

128 is the correct answer.