Finding the Fourth Proportional to 1,096.72, 1,644.96 and 548.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.72 : 1,644.96 = 548.80 : x
2. Step 2: Convert to fraction form
   1,096.72/1,644.96 = 548.80/x
3. Step 3: Cross multiply
   1,096.72x = 1,644.96 × 548.80
4. Step 4: Simplify right side
   1,096.72x = 902,754.05
5. Step 5: Solve for x
   x = 902,754.05/1,096.72
6. Step 6: Final answer
   x = 823.14