Finding the Fourth Proportional to 1,196.68, 1,793.04 and 416.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.68 : 1,793.04 = 416.27 : x
2. Step 2: Convert to fraction form
   1,196.68/1,793.04 = 416.27/x
3. Step 3: Cross multiply
   1,196.68x = 1,793.04 × 416.27
4. Step 4: Simplify right side
   1,196.68x = 746,388.76
5. Step 5: Solve for x
   x = 746,388.76/1,196.68
6. Step 6: Final answer
   x = 623.72