Finding the Fourth Proportional to 2,582.67, 3,564.16 and 1,463.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.67 : 3,564.16 = 1,463.57 : x
2. Step 2: Convert to fraction form
   2,582.67/3,564.16 = 1,463.57/x
3. Step 3: Cross multiply
   2,582.67x = 3,564.16 × 1,463.57
4. Step 4: Simplify right side
   2,582.67x = 5,216,407.41
5. Step 5: Solve for x
   x = 5,216,407.41/2,582.67
6. Step 6: Final answer
   x = 2,019.77