Finding the Fourth Proportional to 10,429.32, 14,392.64 and 5,713.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.32 : 14,392.64 = 5,713.30 : x
2. Step 2: Convert to fraction form
   10,429.32/14,392.64 = 5,713.30/x
3. Step 3: Cross multiply
   10,429.32x = 14,392.64 × 5,713.30
4. Step 4: Simplify right side
   10,429.32x = 82,229,470.25
5. Step 5: Solve for x
   x = 82,229,470.25/10,429.32
6. Step 6: Final answer
   x = 7,884.45