Finding the Fourth Proportional to 105.08, 158.27 and 78.19

Step by Step Solution

1. Step 1: Write the proportion equation
   105.08 : 158.27 = 78.19 : x
2. Step 2: Convert to fraction form
   105.08/158.27 = 78.19/x
3. Step 3: Cross multiply
   105.08x = 158.27 × 78.19
4. Step 4: Simplify right side
   105.08x = 12,374.34
5. Step 5: Solve for x
   x = 12,374.34/105.08
6. Step 6: Final answer
   x = 117.77