Finding the Fourth Proportional to 2,005.27, 3,007.15 and 688.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.27 : 3,007.15 = 688.64 : x
2. Step 2: Convert to fraction form
   2,005.27/3,007.15 = 688.64/x
3. Step 3: Cross multiply
   2,005.27x = 3,007.15 × 688.64
4. Step 4: Simplify right side
   2,005.27x = 2,070,849.57
5. Step 5: Solve for x
   x = 2,070,849.57/2,005.27
6. Step 6: Final answer
   x = 1,032.71