Finding the Fourth Proportional to 2,582.65, 3,563.46 and 1,463.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.65 : 3,563.46 = 1,463.33 : x
2. Step 2: Convert to fraction form
   2,582.65/3,563.46 = 1,463.33/x
3. Step 3: Cross multiply
   2,582.65x = 3,563.46 × 1,463.33
4. Step 4: Simplify right side
   2,582.65x = 5,214,500.10
5. Step 5: Solve for x
   x = 5,214,500.10/2,582.65
6. Step 6: Final answer
   x = 2,019.05