Finding the Fourth Proportional to 2,582.15, 3,563.42 and 1,403.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.15 : 3,563.42 = 1,403.24 : x
2. Step 2: Convert to fraction form
   2,582.15/3,563.42 = 1,403.24/x
3. Step 3: Cross multiply
   2,582.15x = 3,563.42 × 1,403.24
4. Step 4: Simplify right side
   2,582.15x = 5,000,308.65
5. Step 5: Solve for x
   x = 5,000,308.65/2,582.15
6. Step 6: Final answer
   x = 1,936.49