Finding the Fourth Proportional to 109.06, 150.32 and 82.78

Step by Step Solution

1. Step 1: Write the proportion equation
   109.06 : 150.32 = 82.78 : x
2. Step 2: Convert to fraction form
   109.06/150.32 = 82.78/x
3. Step 3: Cross multiply
   109.06x = 150.32 × 82.78
4. Step 4: Simplify right side
   109.06x = 12,443.49
5. Step 5: Solve for x
   x = 12,443.49/109.06
6. Step 6: Final answer
   x = 114.10