Finding the Fourth Proportional to 2,584.85, 3,566.86 and 1,465.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.85 : 3,566.86 = 1,465.89 : x
2. Step 2: Convert to fraction form
   2,584.85/3,566.86 = 1,465.89/x
3. Step 3: Cross multiply
   2,584.85x = 3,566.86 × 1,465.89
4. Step 4: Simplify right side
   2,584.85x = 5,228,617.08
5. Step 5: Solve for x
   x = 5,228,617.08/2,584.85
6. Step 6: Final answer
   x = 2,022.79