Finding the Fourth Proportional to 105.93, 158.83 and 78.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105.93 : 158.83 = 78.25 : x
2. Step 2: Convert to fraction form
   105.93/158.83 = 78.25/x
3. Step 3: Cross multiply
   105.93x = 158.83 × 78.25
4. Step 4: Simplify right side
   105.93x = 12,428.45
5. Step 5: Solve for x
   x = 12,428.45/105.93
6. Step 6: Final answer
   x = 117.33