Finding the Fourth Proportional to 105.94, 145.83 and 78.27

Step by Step Solution

1. Step 1: Write the proportion equation
   105.94 : 145.83 = 78.27 : x
2. Step 2: Convert to fraction form
   105.94/145.83 = 78.27/x
3. Step 3: Cross multiply
   105.94x = 145.83 × 78.27
4. Step 4: Simplify right side
   105.94x = 11,414.11
5. Step 5: Solve for x
   x = 11,414.11/105.94
6. Step 6: Final answer
   x = 107.74