Finding the Fourth Proportional to 2,584.90, 3,566.39 and 1,465.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.90 : 3,566.39 = 1,465.82 : x
2. Step 2: Convert to fraction form
   2,584.90/3,566.39 = 1,465.82/x
3. Step 3: Cross multiply
   2,584.90x = 3,566.39 × 1,465.82
4. Step 4: Simplify right side
   2,584.90x = 5,227,685.79
5. Step 5: Solve for x
   x = 5,227,685.79/2,584.90
6. Step 6: Final answer
   x = 2,022.39