Finding the Fourth Proportional to 3,838.80, 5,290.71 and 3,306.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,838.80 : 5,290.71 = 3,306.30 : x
2. Step 2: Convert to fraction form
   3,838.80/5,290.71 = 3,306.30/x
3. Step 3: Cross multiply
   3,838.80x = 5,290.71 × 3,306.30
4. Step 4: Simplify right side
   3,838.80x = 17,492,674.47
5. Step 5: Solve for x
   x = 17,492,674.47/3,838.80
6. Step 6: Final answer
   x = 4,556.81