Finding the Fourth Proportional to 3,727.78, 5,144.46 and 2,049.24

Step by Step Solution

1. Step 1: Write the proportion equation
   3,727.78 : 5,144.46 = 2,049.24 : x
2. Step 2: Convert to fraction form
   3,727.78/5,144.46 = 2,049.24/x
3. Step 3: Cross multiply
   3,727.78x = 5,144.46 × 2,049.24
4. Step 4: Simplify right side
   3,727.78x = 10,542,244.82
5. Step 5: Solve for x
   x = 10,542,244.82/3,727.78
6. Step 6: Final answer
   x = 2,828.02