Finding the Fourth Proportional to 1,196.06, 1,794.89 and 465.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.06 : 1,794.89 = 465.55 : x
2. Step 2: Convert to fraction form
   1,196.06/1,794.89 = 465.55/x
3. Step 3: Cross multiply
   1,196.06x = 1,794.89 × 465.55
4. Step 4: Simplify right side
   1,196.06x = 835,607.72
5. Step 5: Solve for x
   x = 835,607.72/1,196.06
6. Step 6: Final answer
   x = 698.64