Finding the Fourth Proportional to 10,416.53, 14,374.46 and 5,700.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,416.53 : 14,374.46 = 5,700.71 : x
2. Step 2: Convert to fraction form
   10,416.53/14,374.46 = 5,700.71/x
3. Step 3: Cross multiply
   10,416.53x = 14,374.46 × 5,700.71
4. Step 4: Simplify right side
   10,416.53x = 81,944,678.05
5. Step 5: Solve for x
   x = 81,944,678.05/10,416.53
6. Step 6: Final answer
   x = 7,866.79