Finding the Fourth Proportional to 10,416.14, 14,374.32 and 5,700.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,416.14 : 14,374.32 = 5,700.41 : x
2. Step 2: Convert to fraction form
   10,416.14/14,374.32 = 5,700.41/x
3. Step 3: Cross multiply
   10,416.14x = 14,374.32 × 5,700.41
4. Step 4: Simplify right side
   10,416.14x = 81,939,517.47
5. Step 5: Solve for x
   x = 81,939,517.47/10,416.14
6. Step 6: Final answer
   x = 7,866.59