Finding the Fourth Proportional to 3,839.40, 5,744.56 and 2,280.24

Step by Step Solution

1. Step 1: Write the proportion equation
   3,839.40 : 5,744.56 = 2,280.24 : x
2. Step 2: Convert to fraction form
   3,839.40/5,744.56 = 2,280.24/x
3. Step 3: Cross multiply
   3,839.40x = 5,744.56 × 2,280.24
4. Step 4: Simplify right side
   3,839.40x = 13,098,975.49
5. Step 5: Solve for x
   x = 13,098,975.49/3,839.40
6. Step 6: Final answer
   x = 3,411.72