Finding the Fourth Proportional to 109.91, 151.69 and 82.23

Step by Step Solution

1. Step 1: Write the proportion equation
   109.91 : 151.69 = 82.23 : x
2. Step 2: Convert to fraction form
   109.91/151.69 = 82.23/x
3. Step 3: Cross multiply
   109.91x = 151.69 × 82.23
4. Step 4: Simplify right side
   109.91x = 12,473.06
5. Step 5: Solve for x
   x = 12,473.06/109.91
6. Step 6: Final answer
   x = 113.49