Finding the Fourth Proportional to 2,002.91, 2,765.39 and 1,585.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.91 : 2,765.39 = 1,585.31 : x
2. Step 2: Convert to fraction form
   2,002.91/2,765.39 = 1,585.31/x
3. Step 3: Cross multiply
   2,002.91x = 2,765.39 × 1,585.31
4. Step 4: Simplify right side
   2,002.91x = 4,383,978.67
5. Step 5: Solve for x
   x = 4,383,978.67/2,002.91
6. Step 6: Final answer
   x = 2,188.81