Finding the Fourth Proportional to 9,932.42, 13,706.88 and 5,456.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,932.42 : 13,706.88 = 5,456.57 : x
2. Step 2: Convert to fraction form
   9,932.42/13,706.88 = 5,456.57/x
3. Step 3: Cross multiply
   9,932.42x = 13,706.88 × 5,456.57
4. Step 4: Simplify right side
   9,932.42x = 74,792,550.20
5. Step 5: Solve for x
   x = 74,792,550.20/9,932.42
6. Step 6: Final answer
   x = 7,530.14