Finding the Fourth Proportional to 105.80, 146.06 and 82.56

Step by Step Solution

1. Step 1: Write the proportion equation
   105.80 : 146.06 = 82.56 : x
2. Step 2: Convert to fraction form
   105.80/146.06 = 82.56/x
3. Step 3: Cross multiply
   105.80x = 146.06 × 82.56
4. Step 4: Simplify right side
   105.80x = 12,058.71
5. Step 5: Solve for x
   x = 12,058.71/105.80
6. Step 6: Final answer
   x = 113.98