Finding the Fourth Proportional to 2,582.98, 3,564.53 and 1,520.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.98 : 3,564.53 = 1,520.78 : x
2. Step 2: Convert to fraction form
   2,582.98/3,564.53 = 1,520.78/x
3. Step 3: Cross multiply
   2,582.98x = 3,564.53 × 1,520.78
4. Step 4: Simplify right side
   2,582.98x = 5,420,867.24
5. Step 5: Solve for x
   x = 5,420,867.24/2,582.98
6. Step 6: Final answer
   x = 2,098.69