Finding the Fourth Proportional to 2,582.83, 3,564.27 and 1,463.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.83 : 3,564.27 = 1,463.75 : x
2. Step 2: Convert to fraction form
   2,582.83/3,564.27 = 1,463.75/x
3. Step 3: Cross multiply
   2,582.83x = 3,564.27 × 1,463.75
4. Step 4: Simplify right side
   2,582.83x = 5,217,200.21
5. Step 5: Solve for x
   x = 5,217,200.21/2,582.83
6. Step 6: Final answer
   x = 2,019.95