Finding the Fourth Proportional to 78.83, 118.17 and 51.42

Step by Step Solution

1. Step 1: Write the proportion equation
   78.83 : 118.17 = 51.42 : x
2. Step 2: Convert to fraction form
   78.83/118.17 = 51.42/x
3. Step 3: Cross multiply
   78.83x = 118.17 × 51.42
4. Step 4: Simplify right side
   78.83x = 6,076.30
5. Step 5: Solve for x
   x = 6,076.30/78.83
6. Step 6: Final answer
   x = 77.09