Finding the Fourth Proportional to 2,582.56, 3,564 and 1,520.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.56 : 3,564 = 1,520.38 : x
2. Step 2: Convert to fraction form
   2,582.56/3,564 = 1,520.38/x
3. Step 3: Cross multiply
   2,582.56x = 3,564 × 1,520.38
4. Step 4: Simplify right side
   2,582.56x = 5,418,634.32
5. Step 5: Solve for x
   x = 5,418,634.32/2,582.56
6. Step 6: Final answer
   x = 2,098.16