Finding the Fourth Proportional to 2,582.30, 3,563.82 and 1,463.29

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.30 : 3,563.82 = 1,463.29 : x
2. Step 2: Convert to fraction form
   2,582.30/3,563.82 = 1,463.29/x
3. Step 3: Cross multiply
   2,582.30x = 3,563.82 × 1,463.29
4. Step 4: Simplify right side
   2,582.30x = 5,214,893.26
5. Step 5: Solve for x
   x = 5,214,893.26/2,582.30
6. Step 6: Final answer
   x = 2,019.47