Finding the Fourth Proportional to 1,196.32, 1,794.47 and 466.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.32 : 1,794.47 = 466.42 : x
2. Step 2: Convert to fraction form
   1,196.32/1,794.47 = 466.42/x
3. Step 3: Cross multiply
   1,196.32x = 1,794.47 × 466.42
4. Step 4: Simplify right side
   1,196.32x = 836,976.70
5. Step 5: Solve for x
   x = 836,976.70/1,196.32
6. Step 6: Final answer
   x = 699.63