Finding the Fourth Proportional to 2,583.50, 3,565.55 and 1,464.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.50 : 3,565.55 = 1,464.89 : x
2. Step 2: Convert to fraction form
   2,583.50/3,565.55 = 1,464.89/x
3. Step 3: Cross multiply
   2,583.50x = 3,565.55 × 1,464.89
4. Step 4: Simplify right side
   2,583.50x = 5,223,124.37
5. Step 5: Solve for x
   x = 5,223,124.37/2,583.50
6. Step 6: Final answer
   x = 2,021.73