Finding the Fourth Proportional to 14,549.13, 21,834.56 and 5,665.86

Step by Step Solution

1. Step 1: Write the proportion equation
   14,549.13 : 21,834.56 = 5,665.86 : x
2. Step 2: Convert to fraction form
   14,549.13/21,834.56 = 5,665.86/x
3. Step 3: Cross multiply
   14,549.13x = 21,834.56 × 5,665.86
4. Step 4: Simplify right side
   14,549.13x = 123,711,531.79
5. Step 5: Solve for x
   x = 123,711,531.79/14,549.13
6. Step 6: Final answer
   x = 8,503.02