Finding the Fourth Proportional to 2,582.57, 3,563.82 and 1,403.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.57 : 3,563.82 = 1,403.60 : x
2. Step 2: Convert to fraction form
   2,582.57/3,563.82 = 1,403.60/x
3. Step 3: Cross multiply
   2,582.57x = 3,563.82 × 1,403.60
4. Step 4: Simplify right side
   2,582.57x = 5,002,177.75
5. Step 5: Solve for x
   x = 5,002,177.75/2,582.57
6. Step 6: Final answer
   x = 1,936.90