Finding the Fourth Proportional to 2,005.27, 3,008.07 and 688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.27 : 3,008.07 = 688.50 : x
2. Step 2: Convert to fraction form
   2,005.27/3,008.07 = 688.50/x
3. Step 3: Cross multiply
   2,005.27x = 3,008.07 × 688.50
4. Step 4: Simplify right side
   2,005.27x = 2,071,042.33
5. Step 5: Solve for x
   x = 2,071,042.33/2,005.27
6. Step 6: Final answer
   x = 1,032.80