Finding the Fourth Proportional to 116.50, 160.89 and 82.18

Step by Step Solution

1. Step 1: Write the proportion equation
   116.50 : 160.89 = 82.18 : x
2. Step 2: Convert to fraction form
   116.50/160.89 = 82.18/x
3. Step 3: Cross multiply
   116.50x = 160.89 × 82.18
4. Step 4: Simplify right side
   116.50x = 13,221.94
5. Step 5: Solve for x
   x = 13,221.94/116.50
6. Step 6: Final answer
   x = 113.49