Finding the Fourth Proportional to 1,096.47, 1,644.71 and 316.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.47 : 1,644.71 = 316.54 : x
2. Step 2: Convert to fraction form
   1,096.47/1,644.71 = 316.54/x
3. Step 3: Cross multiply
   1,096.47x = 1,644.71 × 316.54
4. Step 4: Simplify right side
   1,096.47x = 520,616.50
5. Step 5: Solve for x
   x = 520,616.50/1,096.47
6. Step 6: Final answer
   x = 474.81