Finding the Fourth Proportional to 3,727.50, 5,142.47 and 2,401.97

Step by Step Solution

1. Step 1: Write the proportion equation
   3,727.50 : 5,142.47 = 2,401.97 : x
2. Step 2: Convert to fraction form
   3,727.50/5,142.47 = 2,401.97/x
3. Step 3: Cross multiply
   3,727.50x = 5,142.47 × 2,401.97
4. Step 4: Simplify right side
   3,727.50x = 12,352,020.94
5. Step 5: Solve for x
   x = 12,352,020.94/3,727.50
6. Step 6: Final answer
   x = 3,313.75