Finding the Fourth Proportional to 82.35, 123.50 and 30.97

Step by Step Solution

1. Step 1: Write the proportion equation
   82.35 : 123.50 = 30.97 : x
2. Step 2: Convert to fraction form
   82.35/123.50 = 30.97/x
3. Step 3: Cross multiply
   82.35x = 123.50 × 30.97
4. Step 4: Simplify right side
   82.35x = 3,824.33
5. Step 5: Solve for x
   x = 3,824.33/82.35
6. Step 6: Final answer
   x = 46.44