Finding the Fourth Proportional to 10,429.28, 14,392.53 and 5,713.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.28 : 14,392.53 = 5,713.46 : x
2. Step 2: Convert to fraction form
   10,429.28/14,392.53 = 5,713.46/x
3. Step 3: Cross multiply
   10,429.28x = 14,392.53 × 5,713.46
4. Step 4: Simplify right side
   10,429.28x = 82,231,144.45
5. Step 5: Solve for x
   x = 82,231,144.45/10,429.28
6. Step 6: Final answer
   x = 7,884.64