Finding the Fourth Proportional to 9,732.25, 13,430.52 and 5,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,732.25 : 13,430.52 = 5,540.50 : x
2. Step 2: Convert to fraction form
   9,732.25/13,430.52 = 5,540.50/x
3. Step 3: Cross multiply
   9,732.25x = 13,430.52 × 5,540.50
4. Step 4: Simplify right side
   9,732.25x = 74,411,796.06
5. Step 5: Solve for x
   x = 74,411,796.06/9,732.25
6. Step 6: Final answer
   x = 7,645.90