Finding the Fourth Proportional to 10,429.46, 14,392.82 and 5,713.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.46 : 14,392.82 = 5,713.42 : x
2. Step 2: Convert to fraction form
   10,429.46/14,392.82 = 5,713.42/x
3. Step 3: Cross multiply
   10,429.46x = 14,392.82 × 5,713.42
4. Step 4: Simplify right side
   10,429.46x = 82,232,225.64
5. Step 5: Solve for x
   x = 82,232,225.64/10,429.46
6. Step 6: Final answer
   x = 7,884.61