To find the value of X in the sequence 4, 8, 32, 192, 1536, 15360, X, we need to determine the pattern or rule governing the sequence. Let's analyze the sequence step-by-step:

1. The sequence starts with 4.
2. The second number is 8, which can be described as 4 * 2.
3. The third number is 32, which is 8 * 4.
4. The fourth number is 192, which is 32 * 6.
5. The fifth number is 1536, which is 192 * 8.
6. The sixth number is 15360, which is 1536 * 10.

Observing the multiplier pattern: 2, 4, 6, 8, 10, we can see that each number is multiplied by successive even numbers starting from 2. Now, let's apply this pattern to find X:

• Currently, 15360 is obtained from 1536 * 10.
• Following the pattern, the next multiplier should be 12.

Hence, to find X:

\(X = 15360 \times 12\)

Therefore, the value of X is 184320. This matches option 184320, making it the correct answer.