Finding the Fourth Proportional to 105.68, 145.71 and 74.54

Step by Step Solution

1. Step 1: Write the proportion equation
   105.68 : 145.71 = 74.54 : x
2. Step 2: Convert to fraction form
   105.68/145.71 = 74.54/x
3. Step 3: Cross multiply
   105.68x = 145.71 × 74.54
4. Step 4: Simplify right side
   105.68x = 10,861.59
5. Step 5: Solve for x
   x = 10,861.59/105.68
6. Step 6: Final answer
   x = 102.78