Finding the Fourth Proportional to 1,196.43, 1,792.67 and 416.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.43 : 1,792.67 = 416.02 : x
2. Step 2: Convert to fraction form
   1,196.43/1,792.67 = 416.02/x
3. Step 3: Cross multiply
   1,196.43x = 1,792.67 × 416.02
4. Step 4: Simplify right side
   1,196.43x = 745,780.01
5. Step 5: Solve for x
   x = 745,780.01/1,196.43
6. Step 6: Final answer
   x = 623.34