Finding the Fourth Proportional to 6,838.50, 9,438.04 and 4,150.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,838.50 : 9,438.04 = 4,150.78 : x
2. Step 2: Convert to fraction form
   6,838.50/9,438.04 = 4,150.78/x
3. Step 3: Cross multiply
   6,838.50x = 9,438.04 × 4,150.78
4. Step 4: Simplify right side
   6,838.50x = 39,175,227.67
5. Step 5: Solve for x
   x = 39,175,227.67/6,838.50
6. Step 6: Final answer
   x = 5,728.63