Finding the Fourth Proportional to 82.09, 123.15 and 27.98

Step by Step Solution

1. Step 1: Write the proportion equation
   82.09 : 123.15 = 27.98 : x
2. Step 2: Convert to fraction form
   82.09/123.15 = 27.98/x
3. Step 3: Cross multiply
   82.09x = 123.15 × 27.98
4. Step 4: Simplify right side
   82.09x = 3,446.38
5. Step 5: Solve for x
   x = 3,446.38/82.09
6. Step 6: Final answer
   x = 41.98