Finding the Fourth Proportional to 10,415.76, 14,374.08 and 5,700.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,415.76 : 14,374.08 = 5,700.24 : x
2. Step 2: Convert to fraction form
   10,415.76/14,374.08 = 5,700.24/x
3. Step 3: Cross multiply
   10,415.76x = 14,374.08 × 5,700.24
4. Step 4: Simplify right side
   10,415.76x = 81,935,705.78
5. Step 5: Solve for x
   x = 81,935,705.78/10,415.76
6. Step 6: Final answer
   x = 7,866.51