Finding the Fourth Proportional to 10,442.46, 14,410.80 and 5,727

Step by Step Solution

1. Step 1: Write the proportion equation
   10,442.46 : 14,410.80 = 5,727 : x
2. Step 2: Convert to fraction form
   10,442.46/14,410.80 = 5,727/x
3. Step 3: Cross multiply
   10,442.46x = 14,410.80 × 5,727
4. Step 4: Simplify right side
   10,442.46x = 82,530,651.60
5. Step 5: Solve for x
   x = 82,530,651.60/10,442.46
6. Step 6: Final answer
   x = 7,903.37