Finding the Fourth Proportional to 82.66, 123.86 and 46.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82.66 : 123.86 = 46.50 : x
2. Step 2: Convert to fraction form
   82.66/123.86 = 46.50/x
3. Step 3: Cross multiply
   82.66x = 123.86 × 46.50
4. Step 4: Simplify right side
   82.66x = 5,759.49
5. Step 5: Solve for x
   x = 5,759.49/82.66
6. Step 6: Final answer
   x = 69.68