Finding the Fourth Proportional to 105.94, 158.64 and 78.82

Step by Step Solution

1. Step 1: Write the proportion equation
   105.94 : 158.64 = 78.82 : x
2. Step 2: Convert to fraction form
   105.94/158.64 = 78.82/x
3. Step 3: Cross multiply
   105.94x = 158.64 × 78.82
4. Step 4: Simplify right side
   105.94x = 12,504.00
5. Step 5: Solve for x
   x = 12,504.00/105.94
6. Step 6: Final answer
   x = 118.03