Finding the Fourth Proportional to 10,416.78, 14,375.16 and 5,700.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,416.78 : 14,375.16 = 5,700.96 : x
2. Step 2: Convert to fraction form
   10,416.78/14,375.16 = 5,700.96/x
3. Step 3: Cross multiply
   10,416.78x = 14,375.16 × 5,700.96
4. Step 4: Simplify right side
   10,416.78x = 81,952,212.15
5. Step 5: Solve for x
   x = 81,952,212.15/10,416.78
6. Step 6: Final answer
   x = 7,867.33