Finding the Fourth Proportional to 196.71, 271.49 and 113.82

Step by Step Solution

1. Step 1: Write the proportion equation
   196.71 : 271.49 = 113.82 : x
2. Step 2: Convert to fraction form
   196.71/271.49 = 113.82/x
3. Step 3: Cross multiply
   196.71x = 271.49 × 113.82
4. Step 4: Simplify right side
   196.71x = 30,900.42
5. Step 5: Solve for x
   x = 30,900.42/196.71
6. Step 6: Final answer
   x = 157.09