Finding the Fourth Proportional to 1,196.82, 1,793.24 and 466.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.82 : 1,793.24 = 466.02 : x
2. Step 2: Convert to fraction form
   1,196.82/1,793.24 = 466.02/x
3. Step 3: Cross multiply
   1,196.82x = 1,793.24 × 466.02
4. Step 4: Simplify right side
   1,196.82x = 835,685.70
5. Step 5: Solve for x
   x = 835,685.70/1,196.82
6. Step 6: Final answer
   x = 698.26