Finding the Fourth Proportional to 2,582.62, 3,564.12 and 1,463.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.62 : 3,564.12 = 1,463.62 : x
2. Step 2: Convert to fraction form
   2,582.62/3,564.12 = 1,463.62/x
3. Step 3: Cross multiply
   2,582.62x = 3,564.12 × 1,463.62
4. Step 4: Simplify right side
   2,582.62x = 5,216,517.31
5. Step 5: Solve for x
   x = 5,216,517.31/2,582.62
6. Step 6: Final answer
   x = 2,019.85