Finding the Fourth Proportional to 3,727.50, 5,144.04 and 2,048.96

Step by Step Solution

1. Step 1: Write the proportion equation
   3,727.50 : 5,144.04 = 2,048.96 : x
2. Step 2: Convert to fraction form
   3,727.50/5,144.04 = 2,048.96/x
3. Step 3: Cross multiply
   3,727.50x = 5,144.04 × 2,048.96
4. Step 4: Simplify right side
   3,727.50x = 10,539,906.48
5. Step 5: Solve for x
   x = 10,539,906.48/3,727.50
6. Step 6: Final answer
   x = 2,827.61