Finding the Fourth Proportional to 142.61, 196.82 and 83.63

Step by Step Solution

1. Step 1: Write the proportion equation
   142.61 : 196.82 = 83.63 : x
2. Step 2: Convert to fraction form
   142.61/196.82 = 83.63/x
3. Step 3: Cross multiply
   142.61x = 196.82 × 83.63
4. Step 4: Simplify right side
   142.61x = 16,459.28
5. Step 5: Solve for x
   x = 16,459.28/142.61
6. Step 6: Final answer
   x = 115.42