Finding the Fourth Proportional to 1,096.33, 1,644.80 and 609.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.33 : 1,644.80 = 609.72 : x
2. Step 2: Convert to fraction form
   1,096.33/1,644.80 = 609.72/x
3. Step 3: Cross multiply
   1,096.33x = 1,644.80 × 609.72
4. Step 4: Simplify right side
   1,096.33x = 1,002,864.41
5. Step 5: Solve for x
   x = 1,002,864.41/1,096.33
6. Step 6: Final answer
   x = 914.75