Finding the Fourth Proportional to 116.62, 160.71 and 82.06

Step by Step Solution

1. Step 1: Write the proportion equation
   116.62 : 160.71 = 82.06 : x
2. Step 2: Convert to fraction form
   116.62/160.71 = 82.06/x
3. Step 3: Cross multiply
   116.62x = 160.71 × 82.06
4. Step 4: Simplify right side
   116.62x = 13,187.86
5. Step 5: Solve for x
   x = 13,187.86/116.62
6. Step 6: Final answer
   x = 113.08