Finding the Fourth Proportional to 2,585.76, 3,568.59 and 2,165.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.76 : 3,568.59 = 2,165.37 : x
2. Step 2: Convert to fraction form
   2,585.76/3,568.59 = 2,165.37/x
3. Step 3: Cross multiply
   2,585.76x = 3,568.59 × 2,165.37
4. Step 4: Simplify right side
   2,585.76x = 7,727,317.73
5. Step 5: Solve for x
   x = 7,727,317.73/2,585.76
6. Step 6: Final answer
   x = 2,988.41