Finding the Fourth Proportional to 1,096.49, 1,644.72 and 274.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.49 : 1,644.72 = 274.75 : x
2. Step 2: Convert to fraction form
   1,096.49/1,644.72 = 274.75/x
3. Step 3: Cross multiply
   1,096.49x = 1,644.72 × 274.75
4. Step 4: Simplify right side
   1,096.49x = 451,886.82
5. Step 5: Solve for x
   x = 451,886.82/1,096.49
6. Step 6: Final answer
   x = 412.12