Finding the Fourth Proportional to 10,234.74, 14,123.19 and 5,697.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,234.74 : 14,123.19 = 5,697.60 : x
2. Step 2: Convert to fraction form
   10,234.74/14,123.19 = 5,697.60/x
3. Step 3: Cross multiply
   10,234.74x = 14,123.19 × 5,697.60
4. Step 4: Simplify right side
   10,234.74x = 80,468,287.34
5. Step 5: Solve for x
   x = 80,468,287.34/10,234.74
6. Step 6: Final answer
   x = 7,862.27