Finding the Fourth Proportional to 83.17, 114.83 and 52.12

Step by Step Solution

1. Step 1: Write the proportion equation
   83.17 : 114.83 = 52.12 : x
2. Step 2: Convert to fraction form
   83.17/114.83 = 52.12/x
3. Step 3: Cross multiply
   83.17x = 114.83 × 52.12
4. Step 4: Simplify right side
   83.17x = 5,984.94
5. Step 5: Solve for x
   x = 5,984.94/83.17
6. Step 6: Final answer
   x = 71.96