Finding the Fourth Proportional to 76.67, 105.83 and 50.46

Step by Step Solution

1. Step 1: Write the proportion equation
   76.67 : 105.83 = 50.46 : x
2. Step 2: Convert to fraction form
   76.67/105.83 = 50.46/x
3. Step 3: Cross multiply
   76.67x = 105.83 × 50.46
4. Step 4: Simplify right side
   76.67x = 5,340.49
5. Step 5: Solve for x
   x = 5,340.49/76.67
6. Step 6: Final answer
   x = 69.65