Finding the Fourth Proportional to 1,196.98, 1,796.09 and 494.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.98 : 1,796.09 = 494.71 : x
2. Step 2: Convert to fraction form
   1,196.98/1,796.09 = 494.71/x
3. Step 3: Cross multiply
   1,196.98x = 1,796.09 × 494.71
4. Step 4: Simplify right side
   1,196.98x = 888,543.68
5. Step 5: Solve for x
   x = 888,543.68/1,196.98
6. Step 6: Final answer
   x = 742.32