Finding the Fourth Proportional to 2,582.94, 3,564.54 and 1,464.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.94 : 3,564.54 = 1,464.06 : x
2. Step 2: Convert to fraction form
   2,582.94/3,564.54 = 1,464.06/x
3. Step 3: Cross multiply
   2,582.94x = 3,564.54 × 1,464.06
4. Step 4: Simplify right side
   2,582.94x = 5,218,700.43
5. Step 5: Solve for x
   x = 5,218,700.43/2,582.94
6. Step 6: Final answer
   x = 2,020.45