Finding the Fourth Proportional to 2,582.24, 3,563.39 and 1,463.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.24 : 3,563.39 = 1,463.27 : x
2. Step 2: Convert to fraction form
   2,582.24/3,563.39 = 1,463.27/x
3. Step 3: Cross multiply
   2,582.24x = 3,563.39 × 1,463.27
4. Step 4: Simplify right side
   2,582.24x = 5,214,176.55
5. Step 5: Solve for x
   x = 5,214,176.55/2,582.24
6. Step 6: Final answer
   x = 2,019.25