Finding the Fourth Proportional to 105.82, 146.10 and 73.12

Step by Step Solution

1. Step 1: Write the proportion equation
   105.82 : 146.10 = 73.12 : x
2. Step 2: Convert to fraction form
   105.82/146.10 = 73.12/x
3. Step 3: Cross multiply
   105.82x = 146.10 × 73.12
4. Step 4: Simplify right side
   105.82x = 10,682.83
5. Step 5: Solve for x
   x = 10,682.83/105.82
6. Step 6: Final answer
   x = 100.95