Finding the Fourth Proportional to 2,584.58, 3,566.85 and 1,465.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.58 : 3,566.85 = 1,465.34 : x
2. Step 2: Convert to fraction form
   2,584.58/3,566.85 = 1,465.34/x
3. Step 3: Cross multiply
   2,584.58x = 3,566.85 × 1,465.34
4. Step 4: Simplify right side
   2,584.58x = 5,226,647.98
5. Step 5: Solve for x
   x = 5,226,647.98/2,584.58
6. Step 6: Final answer
   x = 2,022.24