Finding the Fourth Proportional to 82.66, 123.78 and 50.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82.66 : 123.78 = 50.50 : x
2. Step 2: Convert to fraction form
   82.66/123.78 = 50.50/x
3. Step 3: Cross multiply
   82.66x = 123.78 × 50.50
4. Step 4: Simplify right side
   82.66x = 6,250.89
5. Step 5: Solve for x
   x = 6,250.89/82.66
6. Step 6: Final answer
   x = 75.62