Finding the Fourth Proportional to 1,096.53, 1,644.18 and 966.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.53 : 1,644.18 = 966.82 : x
2. Step 2: Convert to fraction form
   1,096.53/1,644.18 = 966.82/x
3. Step 3: Cross multiply
   1,096.53x = 1,644.18 × 966.82
4. Step 4: Simplify right side
   1,096.53x = 1,589,626.11
5. Step 5: Solve for x
   x = 1,589,626.11/1,096.53
6. Step 6: Final answer
   x = 1,449.69