Finding the Fourth Proportional to 10,429.57, 14,392.86 and 5,713.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.57 : 14,392.86 = 5,713.85 : x
2. Step 2: Convert to fraction form
   10,429.57/14,392.86 = 5,713.85/x
3. Step 3: Cross multiply
   10,429.57x = 14,392.86 × 5,713.85
4. Step 4: Simplify right side
   10,429.57x = 82,238,657.67
5. Step 5: Solve for x
   x = 82,238,657.67/10,429.57
6. Step 6: Final answer
   x = 7,885.14