Finding the Fourth Proportional to 10,415.88, 14,374.28 and 5,700.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,415.88 : 14,374.28 = 5,700.16 : x
2. Step 2: Convert to fraction form
   10,415.88/14,374.28 = 5,700.16/x
3. Step 3: Cross multiply
   10,415.88x = 14,374.28 × 5,700.16
4. Step 4: Simplify right side
   10,415.88x = 81,935,695.88
5. Step 5: Solve for x
   x = 81,935,695.88/10,415.88
6. Step 6: Final answer
   x = 7,866.42