Finding the Fourth Proportional to 10,468.57, 14,446.35 and 5,752.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,468.57 : 14,446.35 = 5,752.86 : x
2. Step 2: Convert to fraction form
   10,468.57/14,446.35 = 5,752.86/x
3. Step 3: Cross multiply
   10,468.57x = 14,446.35 × 5,752.86
4. Step 4: Simplify right side
   10,468.57x = 83,107,829.06
5. Step 5: Solve for x
   x = 83,107,829.06/10,468.57
6. Step 6: Final answer
   x = 7,938.79