Finding the Fourth Proportional to 1,151.82, 1,728.61 and 688.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.82 : 1,728.61 = 688.20 : x
2. Step 2: Convert to fraction form
   1,151.82/1,728.61 = 688.20/x
3. Step 3: Cross multiply
   1,151.82x = 1,728.61 × 688.20
4. Step 4: Simplify right side
   1,151.82x = 1,189,621.20
5. Step 5: Solve for x
   x = 1,189,621.20/1,151.82
6. Step 6: Final answer
   x = 1,032.82