Finding the Fourth Proportional to 2,882.57, 3,978.47 and 2,260.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,882.57 : 3,978.47 = 2,260.49 : x
2. Step 2: Convert to fraction form
   2,882.57/3,978.47 = 2,260.49/x
3. Step 3: Cross multiply
   2,882.57x = 3,978.47 × 2,260.49
4. Step 4: Simplify right side
   2,882.57x = 8,993,280.35
5. Step 5: Solve for x
   x = 8,993,280.35/2,882.57
6. Step 6: Final answer
   x = 3,119.88