Finding the Fourth Proportional to 105.94, 146.00 and 74.78

Step by Step Solution

1. Step 1: Write the proportion equation
   105.94 : 146.00 = 74.78 : x
2. Step 2: Convert to fraction form
   105.94/146.00 = 74.78/x
3. Step 3: Cross multiply
   105.94x = 146.00 × 74.78
4. Step 4: Simplify right side
   105.94x = 10,917.88
5. Step 5: Solve for x
   x = 10,917.88/105.94
6. Step 6: Final answer
   x = 103.06