Finding the Fourth Proportional to 1,096.10, 1,643.54 and 749.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.10 : 1,643.54 = 749.82 : x
2. Step 2: Convert to fraction form
   1,096.10/1,643.54 = 749.82/x
3. Step 3: Cross multiply
   1,096.10x = 1,643.54 × 749.82
4. Step 4: Simplify right side
   1,096.10x = 1,232,359.16
5. Step 5: Solve for x
   x = 1,232,359.16/1,096.10
6. Step 6: Final answer
   x = 1,124.32