Finding the Fourth Proportional to 9,732.42, 13,431.42 and 5,540.67

Step by Step Solution

1. Step 1: Write the proportion equation
   9,732.42 : 13,431.42 = 5,540.67 : x
2. Step 2: Convert to fraction form
   9,732.42/13,431.42 = 5,540.67/x
3. Step 3: Cross multiply
   9,732.42x = 13,431.42 × 5,540.67
4. Step 4: Simplify right side
   9,732.42x = 74,419,065.85
5. Step 5: Solve for x
   x = 74,419,065.85/9,732.42
6. Step 6: Final answer
   x = 7,646.51