Finding the Fourth Proportional to 1,196.97, 1,796.13 and 538.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.97 : 1,796.13 = 538.62 : x
2. Step 2: Convert to fraction form
   1,196.97/1,796.13 = 538.62/x
3. Step 3: Cross multiply
   1,196.97x = 1,796.13 × 538.62
4. Step 4: Simplify right side
   1,196.97x = 967,431.54
5. Step 5: Solve for x
   x = 967,431.54/1,196.97
6. Step 6: Final answer
   x = 808.23