Finding the Fourth Proportional to 1,201.59, 1,658.16 and 677.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,201.59 : 1,658.16 = 677.73 : x
2. Step 2: Convert to fraction form
   1,201.59/1,658.16 = 677.73/x
3. Step 3: Cross multiply
   1,201.59x = 1,658.16 × 677.73
4. Step 4: Simplify right side
   1,201.59x = 1,123,784.78
5. Step 5: Solve for x
   x = 1,123,784.78/1,201.59
6. Step 6: Final answer
   x = 935.25