Finding the Fourth Proportional to 3,727.83, 5,144.49 and 2,049.34

Step by Step Solution

1. Step 1: Write the proportion equation
   3,727.83 : 5,144.49 = 2,049.34 : x
2. Step 2: Convert to fraction form
   3,727.83/5,144.49 = 2,049.34/x
3. Step 3: Cross multiply
   3,727.83x = 5,144.49 × 2,049.34
4. Step 4: Simplify right side
   3,727.83x = 10,542,809.14
5. Step 5: Solve for x
   x = 10,542,809.14/3,727.83
6. Step 6: Final answer
   x = 2,828.14