Finding the Fourth Proportional to 1,097.34, 1,644.56 and 447.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.34 : 1,644.56 = 447.72 : x
2. Step 2: Convert to fraction form
   1,097.34/1,644.56 = 447.72/x
3. Step 3: Cross multiply
   1,097.34x = 1,644.56 × 447.72
4. Step 4: Simplify right side
   1,097.34x = 736,302.40
5. Step 5: Solve for x
   x = 736,302.40/1,097.34
6. Step 6: Final answer
   x = 670.99