Finding the Fourth Proportional to 2,582.56, 3,563.92 and 1,403.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.56 : 3,563.92 = 1,403.63 : x
2. Step 2: Convert to fraction form
   2,582.56/3,563.92 = 1,403.63/x
3. Step 3: Cross multiply
   2,582.56x = 3,563.92 × 1,403.63
4. Step 4: Simplify right side
   2,582.56x = 5,002,425.03
5. Step 5: Solve for x
   x = 5,002,425.03/2,582.56
6. Step 6: Final answer
   x = 1,937.00