Finding the Fourth Proportional to 142.56, 196.34 and 109.76

Step by Step Solution

1. Step 1: Write the proportion equation
   142.56 : 196.34 = 109.76 : x
2. Step 2: Convert to fraction form
   142.56/196.34 = 109.76/x
3. Step 3: Cross multiply
   142.56x = 196.34 × 109.76
4. Step 4: Simplify right side
   142.56x = 21,548.75
5. Step 5: Solve for x
   x = 21,548.75/142.56
6. Step 6: Final answer
   x = 151.16