Finding the Fourth Proportional to 10,470.71, 14,449.88 and 5,755.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,470.71 : 14,449.88 = 5,755.30 : x
2. Step 2: Convert to fraction form
   10,470.71/14,449.88 = 5,755.30/x
3. Step 3: Cross multiply
   10,470.71x = 14,449.88 × 5,755.30
4. Step 4: Simplify right side
   10,470.71x = 83,163,293.34
5. Step 5: Solve for x
   x = 83,163,293.34/10,470.71
6. Step 6: Final answer
   x = 7,942.47