Finding the Fourth Proportional to 10,177.56, 14,043.78 and 5,700.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,177.56 : 14,043.78 = 5,700.96 : x
2. Step 2: Convert to fraction form
   10,177.56/14,043.78 = 5,700.96/x
3. Step 3: Cross multiply
   10,177.56x = 14,043.78 × 5,700.96
4. Step 4: Simplify right side
   10,177.56x = 80,063,028.03
5. Step 5: Solve for x
   x = 80,063,028.03/10,177.56
6. Step 6: Final answer
   x = 7,866.62