Finding the Fourth Proportional to 1,196.14, 1,794.16 and 416.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.14 : 1,794.16 = 416.32 : x
2. Step 2: Convert to fraction form
   1,196.14/1,794.16 = 416.32/x
3. Step 3: Cross multiply
   1,196.14x = 1,794.16 × 416.32
4. Step 4: Simplify right side
   1,196.14x = 746,944.69
5. Step 5: Solve for x
   x = 746,944.69/1,196.14
6. Step 6: Final answer
   x = 624.46