Finding the Fourth Proportional to 3,948.65, 5,432.37 and 3,839.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,948.65 : 5,432.37 = 3,839.30 : x
2. Step 2: Convert to fraction form
   3,948.65/5,432.37 = 3,839.30/x
3. Step 3: Cross multiply
   3,948.65x = 5,432.37 × 3,839.30
4. Step 4: Simplify right side
   3,948.65x = 20,856,498.14
5. Step 5: Solve for x
   x = 20,856,498.14/3,948.65
6. Step 6: Final answer
   x = 5,281.93