Finding the Fourth Proportional to 12,857.37, 17,738.10 and 8,074.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,857.37 : 17,738.10 = 8,074.50 : x
2. Step 2: Convert to fraction form
   12,857.37/17,738.10 = 8,074.50/x
3. Step 3: Cross multiply
   12,857.37x = 17,738.10 × 8,074.50
4. Step 4: Simplify right side
   12,857.37x = 143,226,288.45
5. Step 5: Solve for x
   x = 143,226,288.45/12,857.37
6. Step 6: Final answer
   x = 11,139.63