Finding the Fourth Proportional to 82.50, 123.79 and 46.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82.50 : 123.79 = 46.50 : x
2. Step 2: Convert to fraction form
   82.50/123.79 = 46.50/x
3. Step 3: Cross multiply
   82.50x = 123.79 × 46.50
4. Step 4: Simplify right side
   82.50x = 5,756.24
5. Step 5: Solve for x
   x = 5,756.24/82.50
6. Step 6: Final answer
   x = 69.77