Finding the Fourth Proportional to 105.82, 146.04 and 76.72

Step by Step Solution

1. Step 1: Write the proportion equation
   105.82 : 146.04 = 76.72 : x
2. Step 2: Convert to fraction form
   105.82/146.04 = 76.72/x
3. Step 3: Cross multiply
   105.82x = 146.04 × 76.72
4. Step 4: Simplify right side
   105.82x = 11,204.19
5. Step 5: Solve for x
   x = 11,204.19/105.82
6. Step 6: Final answer
   x = 105.88