Finding the Fourth Proportional to 102.89, 141.92 and 78.27

Step by Step Solution

1. Step 1: Write the proportion equation
   102.89 : 141.92 = 78.27 : x
2. Step 2: Convert to fraction form
   102.89/141.92 = 78.27/x
3. Step 3: Cross multiply
   102.89x = 141.92 × 78.27
4. Step 4: Simplify right side
   102.89x = 11,107.69
5. Step 5: Solve for x
   x = 11,107.69/102.89
6. Step 6: Final answer
   x = 107.96