Finding the Fourth Proportional to 123.34, 185.10 and 82.84

Step by Step Solution

1. Step 1: Write the proportion equation
   123.34 : 185.10 = 82.84 : x
2. Step 2: Convert to fraction form
   123.34/185.10 = 82.84/x
3. Step 3: Cross multiply
   123.34x = 185.10 × 82.84
4. Step 4: Simplify right side
   123.34x = 15,333.68
5. Step 5: Solve for x
   x = 15,333.68/123.34
6. Step 6: Final answer
   x = 124.32