Finding the Fourth Proportional to 78.18, 116.42 and 77.27

Step by Step Solution

1. Step 1: Write the proportion equation
   78.18 : 116.42 = 77.27 : x
2. Step 2: Convert to fraction form
   78.18/116.42 = 77.27/x
3. Step 3: Cross multiply
   78.18x = 116.42 × 77.27
4. Step 4: Simplify right side
   78.18x = 8,995.39
5. Step 5: Solve for x
   x = 8,995.39/78.18
6. Step 6: Final answer
   x = 115.06