Finding the Fourth Proportional to 10,555.50, 14,565.33 and 5,839.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,555.50 : 14,565.33 = 5,839.14 : x
2. Step 2: Convert to fraction form
   10,555.50/14,565.33 = 5,839.14/x
3. Step 3: Cross multiply
   10,555.50x = 14,565.33 × 5,839.14
4. Step 4: Simplify right side
   10,555.50x = 85,049,001.02
5. Step 5: Solve for x
   x = 85,049,001.02/10,555.50
6. Step 6: Final answer
   x = 8,057.32