Finding the Fourth Proportional to 10,416.25, 14,374.56 and 5,700.43

Step by Step Solution

1. Step 1: Write the proportion equation
   10,416.25 : 14,374.56 = 5,700.43 : x
2. Step 2: Convert to fraction form
   10,416.25/14,374.56 = 5,700.43/x
3. Step 3: Cross multiply
   10,416.25x = 14,374.56 × 5,700.43
4. Step 4: Simplify right side
   10,416.25x = 81,941,173.06
5. Step 5: Solve for x
   x = 81,941,173.06/10,416.25
6. Step 6: Final answer
   x = 7,866.67