Finding the Fourth Proportional to 9,432.86, 13,016.94 and 5,658.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,432.86 : 13,016.94 = 5,658.14 : x
2. Step 2: Convert to fraction form
   9,432.86/13,016.94 = 5,658.14/x
3. Step 3: Cross multiply
   9,432.86x = 13,016.94 × 5,658.14
4. Step 4: Simplify right side
   9,432.86x = 73,651,668.89
5. Step 5: Solve for x
   x = 73,651,668.89/9,432.86
6. Step 6: Final answer
   x = 7,807.99