Finding the Fourth Proportional to 5,826.50, 8,038.29 and 3,838.10

Step by Step Solution

1. Step 1: Write the proportion equation
   5,826.50 : 8,038.29 = 3,838.10 : x
2. Step 2: Convert to fraction form
   5,826.50/8,038.29 = 3,838.10/x
3. Step 3: Cross multiply
   5,826.50x = 8,038.29 × 3,838.10
4. Step 4: Simplify right side
   5,826.50x = 30,851,760.85
5. Step 5: Solve for x
   x = 30,851,760.85/5,826.50
6. Step 6: Final answer
   x = 5,295.08