Finding the Fourth Proportional to 329.34, 493.98 and 123.82

Step by Step Solution

1. Step 1: Write the proportion equation
   329.34 : 493.98 = 123.82 : x
2. Step 2: Convert to fraction form
   329.34/493.98 = 123.82/x
3. Step 3: Cross multiply
   329.34x = 493.98 × 123.82
4. Step 4: Simplify right side
   329.34x = 61,164.60
5. Step 5: Solve for x
   x = 61,164.60/329.34
6. Step 6: Final answer
   x = 185.72