Explanation:

- The sequence provided is 1778, 1609, 1465, 1344, 1244, ?. It looks like these numbers are decreasing in a pattern.

- We can try to identify the pattern by looking at the differences between each number:

- 1778 - 1609 = 169

- 1609 - 1465 = 144

- 1465 - 1344 = 121

- 1344 - 1244 = 100

- The differences form a pattern: 169 (13^2), 144 (12^2), 121 (11^2), 100 (10^2). They are decreasing squares.

- Following this pattern, the next difference should be 9^2 = 81.

- Subtract 81 from 1244 to find the missing number: 1244 - 81 = 1163.

- Based on the given options, the number 1163 is correct.

Therefore, the correct answer is:

Option:4, 1163