Finding the Fourth Proportional to 9,731.86, 13,431.57 and 5,540.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,731.86 : 13,431.57 = 5,540.02 : x
2. Step 2: Convert to fraction form
   9,731.86/13,431.57 = 5,540.02/x
3. Step 3: Cross multiply
   9,731.86x = 13,431.57 × 5,540.02
4. Step 4: Simplify right side
   9,731.86x = 74,411,166.43
5. Step 5: Solve for x
   x = 74,411,166.43/9,731.86
6. Step 6: Final answer
   x = 7,646.14