Finding the Fourth Proportional to 2,584.05, 3,565.92 and 1,465.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.05 : 3,565.92 = 1,465.10 : x
2. Step 2: Convert to fraction form
   2,584.05/3,565.92 = 1,465.10/x
3. Step 3: Cross multiply
   2,584.05x = 3,565.92 × 1,465.10
4. Step 4: Simplify right side
   2,584.05x = 5,224,404.24
5. Step 5: Solve for x
   x = 5,224,404.24/2,584.05
6. Step 6: Final answer
   x = 2,021.79