Finding the Fourth Proportional to 2,005.60, 3,007.62 and 689.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.60 : 3,007.62 = 689.10 : x
2. Step 2: Convert to fraction form
   2,005.60/3,007.62 = 689.10/x
3. Step 3: Cross multiply
   2,005.60x = 3,007.62 × 689.10
4. Step 4: Simplify right side
   2,005.60x = 2,072,550.94
5. Step 5: Solve for x
   x = 2,072,550.94/2,005.60
6. Step 6: Final answer
   x = 1,033.38