Finding the Fourth Proportional to 142.02, 196.17 and 105.37

Step by Step Solution

1. Step 1: Write the proportion equation
   142.02 : 196.17 = 105.37 : x
2. Step 2: Convert to fraction form
   142.02/196.17 = 105.37/x
3. Step 3: Cross multiply
   142.02x = 196.17 × 105.37
4. Step 4: Simplify right side
   142.02x = 20,669.58
5. Step 5: Solve for x
   x = 20,669.58/142.02
6. Step 6: Final answer
   x = 145.54