To find the value of x, we need to isolate x in the given equation x1/12 = 491/24.

Step 1: Simplify the equation
To simplify the equation, we can multiply both sides by 12 to eliminate the fraction:
12 * x1/12 = 12 * 491/24
x = 491/2

Step 2: Divide the numerator by the denominator
To divide 491 by 2, we can use long division:
245
2 | 491
- 4
-----
9
- 8
-----
11
- 10
-----
1

So, 491 divided by 2 equals 245 with a remainder of 1. Therefore, x = 245 remainder 1.

Step 3: Check the answer
To verify our answer, we can substitute x = 245 into the original equation and see if it holds true:
245 * 1/12 = 491/24

Let's simplify the left side of the equation:
245 * 1/12 = 245/12

Now, let's simplify the right side of the equation:
491/24 = 245/12

As both sides of the equation are equal, we can conclude that x = 245 is indeed the correct value.

Step 4: Determine the correct option
The correct option is given as "A) 7". However, x = 245, not 7. Therefore, the given options are incorrect, and none of the options are correct for this particular question.

In summary, the value of x is 245, not 7 as stated in the options.