Finding the Fourth Proportional to 1,196.49, 1,793.94 and 466.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.49 : 1,793.94 = 466.14 : x
2. Step 2: Convert to fraction form
   1,196.49/1,793.94 = 466.14/x
3. Step 3: Cross multiply
   1,196.49x = 1,793.94 × 466.14
4. Step 4: Simplify right side
   1,196.49x = 836,227.19
5. Step 5: Solve for x
   x = 836,227.19/1,196.49
6. Step 6: Final answer
   x = 698.90