Finding the Fourth Proportional to 105.52, 145.38 and 92.56

Step by Step Solution

1. Step 1: Write the proportion equation
   105.52 : 145.38 = 92.56 : x
2. Step 2: Convert to fraction form
   105.52/145.38 = 92.56/x
3. Step 3: Cross multiply
   105.52x = 145.38 × 92.56
4. Step 4: Simplify right side
   105.52x = 13,456.37
5. Step 5: Solve for x
   x = 13,456.37/105.52
6. Step 6: Final answer
   x = 127.52