Finding the Fourth Proportional to 77.83, 116.78 and 50.39

Step by Step Solution

1. Step 1: Write the proportion equation
   77.83 : 116.78 = 50.39 : x
2. Step 2: Convert to fraction form
   77.83/116.78 = 50.39/x
3. Step 3: Cross multiply
   77.83x = 116.78 × 50.39
4. Step 4: Simplify right side
   77.83x = 5,884.15
5. Step 5: Solve for x
   x = 5,884.15/77.83
6. Step 6: Final answer
   x = 75.60