Finding the Fourth Proportional to 119.58, 164.89 and 78.08

Step by Step Solution

1. Step 1: Write the proportion equation
   119.58 : 164.89 = 78.08 : x
2. Step 2: Convert to fraction form
   119.58/164.89 = 78.08/x
3. Step 3: Cross multiply
   119.58x = 164.89 × 78.08
4. Step 4: Simplify right side
   119.58x = 12,874.37
5. Step 5: Solve for x
   x = 12,874.37/119.58
6. Step 6: Final answer
   x = 107.67