Finding the Fourth Proportional to 2,582.96, 3,563.70 and 1,463.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.96 : 3,563.70 = 1,463.72 : x
2. Step 2: Convert to fraction form
   2,582.96/3,563.70 = 1,463.72/x
3. Step 3: Cross multiply
   2,582.96x = 3,563.70 × 1,463.72
4. Step 4: Simplify right side
   2,582.96x = 5,216,258.96
5. Step 5: Solve for x
   x = 5,216,258.96/2,582.96
6. Step 6: Final answer
   x = 2,019.49