Finding the Fourth Proportional to 2,582.33, 3,564.09 and 1,463.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.33 : 3,564.09 = 1,463.27 : x
2. Step 2: Convert to fraction form
   2,582.33/3,564.09 = 1,463.27/x
3. Step 3: Cross multiply
   2,582.33x = 3,564.09 × 1,463.27
4. Step 4: Simplify right side
   2,582.33x = 5,215,208.15
5. Step 5: Solve for x
   x = 5,215,208.15/2,582.33
6. Step 6: Final answer
   x = 2,019.58