Finding the Fourth Proportional to 9,732.38, 13,430.72 and 5,540.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,732.38 : 13,430.72 = 5,540.63 : x
2. Step 2: Convert to fraction form
   9,732.38/13,430.72 = 5,540.63/x
3. Step 3: Cross multiply
   9,732.38x = 13,430.72 × 5,540.63
4. Step 4: Simplify right side
   9,732.38x = 74,414,596.85
5. Step 5: Solve for x
   x = 74,414,596.85/9,732.38
6. Step 6: Final answer
   x = 7,646.09