Finding the Fourth Proportional to 10,429.35, 14,392.87 and 5,713.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.35 : 14,392.87 = 5,713.64 : x
2. Step 2: Convert to fraction form
   10,429.35/14,392.87 = 5,713.64/x
3. Step 3: Cross multiply
   10,429.35x = 14,392.87 × 5,713.64
4. Step 4: Simplify right side
   10,429.35x = 82,235,605.78
5. Step 5: Solve for x
   x = 82,235,605.78/10,429.35
6. Step 6: Final answer
   x = 7,885.02