Finding the Fourth Proportional to 1,196.52, 1,794.42 and 466.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.52 : 1,794.42 = 466.20 : x
2. Step 2: Convert to fraction form
   1,196.52/1,794.42 = 466.20/x
3. Step 3: Cross multiply
   1,196.52x = 1,794.42 × 466.20
4. Step 4: Simplify right side
   1,196.52x = 836,558.60
5. Step 5: Solve for x
   x = 836,558.60/1,196.52
6. Step 6: Final answer
   x = 699.16