Finding the Fourth Proportional to 2,589.64, 3,859.47 and 2,585.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,589.64 : 3,859.47 = 2,585.52 : x
2. Step 2: Convert to fraction form
   2,589.64/3,859.47 = 2,585.52/x
3. Step 3: Cross multiply
   2,589.64x = 3,859.47 × 2,585.52
4. Step 4: Simplify right side
   2,589.64x = 9,978,736.87
5. Step 5: Solve for x
   x = 9,978,736.87/2,589.64
6. Step 6: Final answer
   x = 3,853.33