Finding the Fourth Proportional to 2,005.85, 3,008.00 and 689.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.85 : 3,008.00 = 689.35 : x
2. Step 2: Convert to fraction form
   2,005.85/3,008.00 = 689.35/x
3. Step 3: Cross multiply
   2,005.85x = 3,008.00 × 689.35
4. Step 4: Simplify right side
   2,005.85x = 2,073,561.35
5. Step 5: Solve for x
   x = 2,073,561.35/2,005.85
6. Step 6: Final answer
   x = 1,033.76