Finding the Fourth Proportional to 2,584.93, 3,567.15 and 1,465.87

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.93 : 3,567.15 = 1,465.87 : x
2. Step 2: Convert to fraction form
   2,584.93/3,567.15 = 1,465.87/x
3. Step 3: Cross multiply
   2,584.93x = 3,567.15 × 1,465.87
4. Step 4: Simplify right side
   2,584.93x = 5,228,978.17
5. Step 5: Solve for x
   x = 5,228,978.17/2,584.93
6. Step 6: Final answer
   x = 2,022.87