Finding the Fourth Proportional to 105.76, 145.56 and 105.52

Step by Step Solution

1. Step 1: Write the proportion equation
   105.76 : 145.56 = 105.52 : x
2. Step 2: Convert to fraction form
   105.76/145.56 = 105.52/x
3. Step 3: Cross multiply
   105.76x = 145.56 × 105.52
4. Step 4: Simplify right side
   105.76x = 15,359.49
5. Step 5: Solve for x
   x = 15,359.49/105.76
6. Step 6: Final answer
   x = 145.23