Finding the Fourth Proportional to 9,653.82, 13,322.46 and 7,531.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,653.82 : 13,322.46 = 7,531.74 : x
2. Step 2: Convert to fraction form
   9,653.82/13,322.46 = 7,531.74/x
3. Step 3: Cross multiply
   9,653.82x = 13,322.46 × 7,531.74
4. Step 4: Simplify right side
   9,653.82x = 100,341,304.88
5. Step 5: Solve for x
   x = 100,341,304.88/9,653.82
6. Step 6: Final answer
   x = 10,393.95