Finding the Fourth Proportional to 6,839.31, 9,438.24 and 3,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,839.31 : 9,438.24 = 3,695.50 : x
2. Step 2: Convert to fraction form
   6,839.31/9,438.24 = 3,695.50/x
3. Step 3: Cross multiply
   6,839.31x = 9,438.24 × 3,695.50
4. Step 4: Simplify right side
   6,839.31x = 34,879,020.79
5. Step 5: Solve for x
   x = 34,879,020.79/6,839.31
6. Step 6: Final answer
   x = 5,099.78