Finding the Fourth Proportional to 2,582.19, 3,563.31 and 1,463.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.19 : 3,563.31 = 1,463.12 : x
2. Step 2: Convert to fraction form
   2,582.19/3,563.31 = 1,463.12/x
3. Step 3: Cross multiply
   2,582.19x = 3,563.31 × 1,463.12
4. Step 4: Simplify right side
   2,582.19x = 5,213,532.31
5. Step 5: Solve for x
   x = 5,213,532.31/2,582.19
6. Step 6: Final answer
   x = 2,019.04