Finding the Fourth Proportional to 10,442.70, 14,410.86 and 5,727

Step by Step Solution

1. Step 1: Write the proportion equation
   10,442.70 : 14,410.86 = 5,727 : x
2. Step 2: Convert to fraction form
   10,442.70/14,410.86 = 5,727/x
3. Step 3: Cross multiply
   10,442.70x = 14,410.86 × 5,727
4. Step 4: Simplify right side
   10,442.70x = 82,530,995.22
5. Step 5: Solve for x
   x = 82,530,995.22/10,442.70
6. Step 6: Final answer
   x = 7,903.22