Finding the Fourth Proportional to 2,582.20, 3,563.49 and 1,520.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.20 : 3,563.49 = 1,520.74 : x
2. Step 2: Convert to fraction form
   2,582.20/3,563.49 = 1,520.74/x
3. Step 3: Cross multiply
   2,582.20x = 3,563.49 × 1,520.74
4. Step 4: Simplify right side
   2,582.20x = 5,419,141.78
5. Step 5: Solve for x
   x = 5,419,141.78/2,582.20
6. Step 6: Final answer
   x = 2,098.65