Finding the Fourth Proportional to 2,582.05, 3,563.47 and 1,463.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.05 : 3,563.47 = 1,463.04 : x
2. Step 2: Convert to fraction form
   2,582.05/3,563.47 = 1,463.04/x
3. Step 3: Cross multiply
   2,582.05x = 3,563.47 × 1,463.04
4. Step 4: Simplify right side
   2,582.05x = 5,213,499.15
5. Step 5: Solve for x
   x = 5,213,499.15/2,582.05
6. Step 6: Final answer
   x = 2,019.13