Finding the Fourth Proportional to 10,429.52, 14,392.80 and 5,713.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.52 : 14,392.80 = 5,713.82 : x
2. Step 2: Convert to fraction form
   10,429.52/14,392.80 = 5,713.82/x
3. Step 3: Cross multiply
   10,429.52x = 14,392.80 × 5,713.82
4. Step 4: Simplify right side
   10,429.52x = 82,237,868.50
5. Step 5: Solve for x
   x = 82,237,868.50/10,429.52
6. Step 6: Final answer
   x = 7,885.11