Finding the Fourth Proportional to 10,416.32, 14,374.72 and 5,700.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,416.32 : 14,374.72 = 5,700.80 : x
2. Step 2: Convert to fraction form
   10,416.32/14,374.72 = 5,700.80/x
3. Step 3: Cross multiply
   10,416.32x = 14,374.72 × 5,700.80
4. Step 4: Simplify right side
   10,416.32x = 81,947,403.78
5. Step 5: Solve for x
   x = 81,947,403.78/10,416.32
6. Step 6: Final answer
   x = 7,867.21