Finding the Fourth Proportional to 142.84, 196.96 and 111.76

Step by Step Solution

1. Step 1: Write the proportion equation
   142.84 : 196.96 = 111.76 : x
2. Step 2: Convert to fraction form
   142.84/196.96 = 111.76/x
3. Step 3: Cross multiply
   142.84x = 196.96 × 111.76
4. Step 4: Simplify right side
   142.84x = 22,012.25
5. Step 5: Solve for x
   x = 22,012.25/142.84
6. Step 6: Final answer
   x = 154.10