Finding the Fourth Proportional to 2,584.17, 3,565.35 and 1,465.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.17 : 3,565.35 = 1,465.02 : x
2. Step 2: Convert to fraction form
   2,584.17/3,565.35 = 1,465.02/x
3. Step 3: Cross multiply
   2,584.17x = 3,565.35 × 1,465.02
4. Step 4: Simplify right side
   2,584.17x = 5,223,309.06
5. Step 5: Solve for x
   x = 5,223,309.06/2,584.17
6. Step 6: Final answer
   x = 2,021.27