Finding the Fourth Proportional to 1,196.11, 1,793.46 and 464.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.11 : 1,793.46 = 464.83 : x
2. Step 2: Convert to fraction form
   1,196.11/1,793.46 = 464.83/x
3. Step 3: Cross multiply
   1,196.11x = 1,793.46 × 464.83
4. Step 4: Simplify right side
   1,196.11x = 833,651.27
5. Step 5: Solve for x
   x = 833,651.27/1,196.11
6. Step 6: Final answer
   x = 696.97