Finding the Fourth Proportional to 10,535.91, 14,539.17 and 5,755.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,535.91 : 14,539.17 = 5,755.87 : x
2. Step 2: Convert to fraction form
   10,535.91/14,539.17 = 5,755.87/x
3. Step 3: Cross multiply
   10,535.91x = 14,539.17 × 5,755.87
4. Step 4: Simplify right side
   10,535.91x = 83,685,572.43
5. Step 5: Solve for x
   x = 83,685,572.43/10,535.91
6. Step 6: Final answer
   x = 7,942.89