Finding the Fourth Proportional to 105.72, 146.28 and 92.82

Step by Step Solution

1. Step 1: Write the proportion equation
   105.72 : 146.28 = 92.82 : x
2. Step 2: Convert to fraction form
   105.72/146.28 = 92.82/x
3. Step 3: Cross multiply
   105.72x = 146.28 × 92.82
4. Step 4: Simplify right side
   105.72x = 13,577.71
5. Step 5: Solve for x
   x = 13,577.71/105.72
6. Step 6: Final answer
   x = 128.43