Finding the Fourth Proportional to 2,584.08, 3,566.15 and 1,465.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.08 : 3,566.15 = 1,465.06 : x
2. Step 2: Convert to fraction form
   2,584.08/3,566.15 = 1,465.06/x
3. Step 3: Cross multiply
   2,584.08x = 3,566.15 × 1,465.06
4. Step 4: Simplify right side
   2,584.08x = 5,224,623.72
5. Step 5: Solve for x
   x = 5,224,623.72/2,584.08
6. Step 6: Final answer
   x = 2,021.85