Finding the Fourth Proportional to 2,005.35, 3,007.25 and 688.85

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.35 : 3,007.25 = 688.85 : x
2. Step 2: Convert to fraction form
   2,005.35/3,007.25 = 688.85/x
3. Step 3: Cross multiply
   2,005.35x = 3,007.25 × 688.85
4. Step 4: Simplify right side
   2,005.35x = 2,071,540.72
5. Step 5: Solve for x
   x = 2,071,540.72/2,005.35
6. Step 6: Final answer
   x = 1,033.01