Finding the Fourth Proportional to 10,429.16, 14,392.49 and 5,713.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.16 : 14,392.49 = 5,713.47 : x
2. Step 2: Convert to fraction form
   10,429.16/14,392.49 = 5,713.47/x
3. Step 3: Cross multiply
   10,429.16x = 14,392.49 × 5,713.47
4. Step 4: Simplify right side
   10,429.16x = 82,231,031.27
5. Step 5: Solve for x
   x = 82,231,031.27/10,429.16
6. Step 6: Final answer
   x = 7,884.73