Finding the Fourth Proportional to 1,196.47, 1,794.56 and 466.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.47 : 1,794.56 = 466.56 : x
2. Step 2: Convert to fraction form
   1,196.47/1,794.56 = 466.56/x
3. Step 3: Cross multiply
   1,196.47x = 1,794.56 × 466.56
4. Step 4: Simplify right side
   1,196.47x = 837,267.58
5. Step 5: Solve for x
   x = 837,267.58/1,196.47
6. Step 6: Final answer
   x = 699.78