Finding the Fourth Proportional to 1,196.72, 1,793.82 and 466.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.72 : 1,793.82 = 466.28 : x
2. Step 2: Convert to fraction form
   1,196.72/1,793.82 = 466.28/x
3. Step 3: Cross multiply
   1,196.72x = 1,793.82 × 466.28
4. Step 4: Simplify right side
   1,196.72x = 836,422.39
5. Step 5: Solve for x
   x = 836,422.39/1,196.72
6. Step 6: Final answer
   x = 698.93