Finding the Fourth Proportional to 1,096.50, 1,644.69 and 447.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.50 : 1,644.69 = 447.78 : x
2. Step 2: Convert to fraction form
   1,096.50/1,644.69 = 447.78/x
3. Step 3: Cross multiply
   1,096.50x = 1,644.69 × 447.78
4. Step 4: Simplify right side
   1,096.50x = 736,459.29
5. Step 5: Solve for x
   x = 736,459.29/1,096.50
6. Step 6: Final answer
   x = 671.65