Finding the Fourth Proportional to 315.37, 472.71 and 109.83

Step by Step Solution

1. Step 1: Write the proportion equation
   315.37 : 472.71 = 109.83 : x
2. Step 2: Convert to fraction form
   315.37/472.71 = 109.83/x
3. Step 3: Cross multiply
   315.37x = 472.71 × 109.83
4. Step 4: Simplify right side
   315.37x = 51,915.55
5. Step 5: Solve for x
   x = 51,915.55/315.37
6. Step 6: Final answer
   x = 164.62