Finding the Fourth Proportional to 2,584.37, 3,566.35 and 1,465.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.37 : 3,566.35 = 1,465.41 : x
2. Step 2: Convert to fraction form
   2,584.37/3,566.35 = 1,465.41/x
3. Step 3: Cross multiply
   2,584.37x = 3,566.35 × 1,465.41
4. Step 4: Simplify right side
   2,584.37x = 5,226,143.46
5. Step 5: Solve for x
   x = 5,226,143.46/2,584.37
6. Step 6: Final answer
   x = 2,022.22