Finding the Fourth Proportional to 10,429.42, 14,392.79 and 5,713.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.42 : 14,392.79 = 5,713.40 : x
2. Step 2: Convert to fraction form
   10,429.42/14,392.79 = 5,713.40/x
3. Step 3: Cross multiply
   10,429.42x = 14,392.79 × 5,713.40
4. Step 4: Simplify right side
   10,429.42x = 82,231,665.86
5. Step 5: Solve for x
   x = 82,231,665.86/10,429.42
6. Step 6: Final answer
   x = 7,884.59