Finding the Fourth Proportional to 2,882.32, 3,978.12 and 2,260.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,882.32 : 3,978.12 = 2,260.24 : x
2. Step 2: Convert to fraction form
   2,882.32/3,978.12 = 2,260.24/x
3. Step 3: Cross multiply
   2,882.32x = 3,978.12 × 2,260.24
4. Step 4: Simplify right side
   2,882.32x = 8,991,505.95
5. Step 5: Solve for x
   x = 8,991,505.95/2,882.32
6. Step 6: Final answer
   x = 3,119.54