Finding the Fourth Proportional to 10,429.75, 14,393.06 and 5,713.93

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.75 : 14,393.06 = 5,713.93 : x
2. Step 2: Convert to fraction form
   10,429.75/14,393.06 = 5,713.93/x
3. Step 3: Cross multiply
   10,429.75x = 14,393.06 × 5,713.93
4. Step 4: Simplify right side
   10,429.75x = 82,240,937.33
5. Step 5: Solve for x
   x = 82,240,937.33/10,429.75
6. Step 6: Final answer
   x = 7,885.23