Finding the Fourth Proportional to 3,727.12, 5,142.42 and 2,234.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,727.12 : 5,142.42 = 2,234.56 : x
2. Step 2: Convert to fraction form
   3,727.12/5,142.42 = 2,234.56/x
3. Step 3: Cross multiply
   3,727.12x = 5,142.42 × 2,234.56
4. Step 4: Simplify right side
   3,727.12x = 11,491,046.04
5. Step 5: Solve for x
   x = 11,491,046.04/3,727.12
6. Step 6: Final answer
   x = 3,083.09