Finding the Fourth Proportional to 2,584.14, 3,566.20 and 1,465.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.14 : 3,566.20 = 1,465.10 : x
2. Step 2: Convert to fraction form
   2,584.14/3,566.20 = 1,465.10/x
3. Step 3: Cross multiply
   2,584.14x = 3,566.20 × 1,465.10
4. Step 4: Simplify right side
   2,584.14x = 5,224,839.62
5. Step 5: Solve for x
   x = 5,224,839.62/2,584.14
6. Step 6: Final answer
   x = 2,021.89