Finding the Fourth Proportional to 1,096.16, 1,644.96 and 806.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.16 : 1,644.96 = 806.72 : x
2. Step 2: Convert to fraction form
   1,096.16/1,644.96 = 806.72/x
3. Step 3: Cross multiply
   1,096.16x = 1,644.96 × 806.72
4. Step 4: Simplify right side
   1,096.16x = 1,327,022.13
5. Step 5: Solve for x
   x = 1,327,022.13/1,096.16
6. Step 6: Final answer
   x = 1,210.61