Finding the Fourth Proportional to 1,204.82, 1,662.37 and 680.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,204.82 : 1,662.37 = 680.78 : x
2. Step 2: Convert to fraction form
   1,204.82/1,662.37 = 680.78/x
3. Step 3: Cross multiply
   1,204.82x = 1,662.37 × 680.78
4. Step 4: Simplify right side
   1,204.82x = 1,131,708.25
5. Step 5: Solve for x
   x = 1,131,708.25/1,204.82
6. Step 6: Final answer
   x = 939.32