Finding the Fourth Proportional to 119.52, 164.76 and 78.05

Step by Step Solution

1. Step 1: Write the proportion equation
   119.52 : 164.76 = 78.05 : x
2. Step 2: Convert to fraction form
   119.52/164.76 = 78.05/x
3. Step 3: Cross multiply
   119.52x = 164.76 × 78.05
4. Step 4: Simplify right side
   119.52x = 12,858.69
5. Step 5: Solve for x
   x = 12,858.69/119.52
6. Step 6: Final answer
   x = 107.59