Finding the Fourth Proportional to 6,789.15, 10,185.57 and 6,138.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,789.15 : 10,185.57 = 6,138.50 : x
2. Step 2: Convert to fraction form
   6,789.15/10,185.57 = 6,138.50/x
3. Step 3: Cross multiply
   6,789.15x = 10,185.57 × 6,138.50
4. Step 4: Simplify right side
   6,789.15x = 62,524,070.52
5. Step 5: Solve for x
   x = 62,524,070.52/6,789.15
6. Step 6: Final answer
   x = 9,209.41