Finding the Fourth Proportional to 1,201.72, 1,658.16 and 677.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,201.72 : 1,658.16 = 677.56 : x
2. Step 2: Convert to fraction form
   1,201.72/1,658.16 = 677.56/x
3. Step 3: Cross multiply
   1,201.72x = 1,658.16 × 677.56
4. Step 4: Simplify right side
   1,201.72x = 1,123,502.89
5. Step 5: Solve for x
   x = 1,123,502.89/1,201.72
6. Step 6: Final answer
   x = 934.91