Finding the Fourth Proportional to 1,092.78, 1,638.56 and 544.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092.78 : 1,638.56 = 544.82 : x
2. Step 2: Convert to fraction form
   1,092.78/1,638.56 = 544.82/x
3. Step 3: Cross multiply
   1,092.78x = 1,638.56 × 544.82
4. Step 4: Simplify right side
   1,092.78x = 892,709.34
5. Step 5: Solve for x
   x = 892,709.34/1,092.78
6. Step 6: Final answer
   x = 816.92