Finding the Fourth Proportional to 77.86, 116.86 and 50.82

Step by Step Solution

1. Step 1: Write the proportion equation
   77.86 : 116.86 = 50.82 : x
2. Step 2: Convert to fraction form
   77.86/116.86 = 50.82/x
3. Step 3: Cross multiply
   77.86x = 116.86 × 50.82
4. Step 4: Simplify right side
   77.86x = 5,938.83
5. Step 5: Solve for x
   x = 5,938.83/77.86
6. Step 6: Final answer
   x = 76.28