Finding the Fourth Proportional to 105.95, 158.59 and 78.83

Step by Step Solution

1. Step 1: Write the proportion equation
   105.95 : 158.59 = 78.83 : x
2. Step 2: Convert to fraction form
   105.95/158.59 = 78.83/x
3. Step 3: Cross multiply
   105.95x = 158.59 × 78.83
4. Step 4: Simplify right side
   105.95x = 12,501.65
5. Step 5: Solve for x
   x = 12,501.65/105.95
6. Step 6: Final answer
   x = 118.00