Finding the Fourth Proportional to 142.76, 196.86 and 116.84

Step by Step Solution

1. Step 1: Write the proportion equation
   142.76 : 196.86 = 116.84 : x
2. Step 2: Convert to fraction form
   142.76/196.86 = 116.84/x
3. Step 3: Cross multiply
   142.76x = 196.86 × 116.84
4. Step 4: Simplify right side
   142.76x = 23,001.12
5. Step 5: Solve for x
   x = 23,001.12/142.76
6. Step 6: Final answer
   x = 161.12