Finding the Fourth Proportional to 1,367.72, 2,046.54 and 820.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,367.72 : 2,046.54 = 820.28 : x
2. Step 2: Convert to fraction form
   1,367.72/2,046.54 = 820.28/x
3. Step 3: Cross multiply
   1,367.72x = 2,046.54 × 820.28
4. Step 4: Simplify right side
   1,367.72x = 1,678,735.83
5. Step 5: Solve for x
   x = 1,678,735.83/1,367.72
6. Step 6: Final answer
   x = 1,227.40