Finding the Fourth Proportional to 9,899.29, 14,854.78 and 3,663.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,899.29 : 14,854.78 = 3,663.68 : x
2. Step 2: Convert to fraction form
   9,899.29/14,854.78 = 3,663.68/x
3. Step 3: Cross multiply
   9,899.29x = 14,854.78 × 3,663.68
4. Step 4: Simplify right side
   9,899.29x = 54,423,169.10
5. Step 5: Solve for x
   x = 54,423,169.10/9,899.29
6. Step 6: Final answer
   x = 5,497.68