Finding the Fourth Proportional to 1,196.55, 1,794.02 and 416.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.55 : 1,794.02 = 416.18 : x
2. Step 2: Convert to fraction form
   1,196.55/1,794.02 = 416.18/x
3. Step 3: Cross multiply
   1,196.55x = 1,794.02 × 416.18
4. Step 4: Simplify right side
   1,196.55x = 746,637.65
5. Step 5: Solve for x
   x = 746,637.65/1,196.55
6. Step 6: Final answer
   x = 623.99