Finding the Fourth Proportional to 1,196.89, 1,795.60 and 416.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.89 : 1,795.60 = 416.94 : x
2. Step 2: Convert to fraction form
   1,196.89/1,795.60 = 416.94/x
3. Step 3: Cross multiply
   1,196.89x = 1,795.60 × 416.94
4. Step 4: Simplify right side
   1,196.89x = 748,651.25
5. Step 5: Solve for x
   x = 748,651.25/1,196.89
6. Step 6: Final answer
   x = 625.50