Finding the Fourth Proportional to 142.71, 196.93 and 83.69

Step by Step Solution

1. Step 1: Write the proportion equation
   142.71 : 196.93 = 83.69 : x
2. Step 2: Convert to fraction form
   142.71/196.93 = 83.69/x
3. Step 3: Cross multiply
   142.71x = 196.93 × 83.69
4. Step 4: Simplify right side
   142.71x = 16,481.07
5. Step 5: Solve for x
   x = 16,481.07/142.71
6. Step 6: Final answer
   x = 115.49