Finding the Fourth Proportional to 6,644.50, 9,169.89 and 3,850

Step by Step Solution

1. Step 1: Write the proportion equation
   6,644.50 : 9,169.89 = 3,850 : x
2. Step 2: Convert to fraction form
   6,644.50/9,169.89 = 3,850/x
3. Step 3: Cross multiply
   6,644.50x = 9,169.89 × 3,850
4. Step 4: Simplify right side
   6,644.50x = 35,304,076.50
5. Step 5: Solve for x
   x = 35,304,076.50/6,644.50
6. Step 6: Final answer
   x = 5,313.28