Finding the Fourth Proportional to 83.79, 116.18 and 82.30

Step by Step Solution

1. Step 1: Write the proportion equation
   83.79 : 116.18 = 82.30 : x
2. Step 2: Convert to fraction form
   83.79/116.18 = 82.30/x
3. Step 3: Cross multiply
   83.79x = 116.18 × 82.30
4. Step 4: Simplify right side
   83.79x = 9,561.61
5. Step 5: Solve for x
   x = 9,561.61/83.79
6. Step 6: Final answer
   x = 114.11