Finding the Fourth Proportional to 11,777.50, 16,238.55 and 9,251.74

Step by Step Solution

1. Step 1: Write the proportion equation
   11,777.50 : 16,238.55 = 9,251.74 : x
2. Step 2: Convert to fraction form
   11,777.50/16,238.55 = 9,251.74/x
3. Step 3: Cross multiply
   11,777.50x = 16,238.55 × 9,251.74
4. Step 4: Simplify right side
   11,777.50x = 150,234,842.58
5. Step 5: Solve for x
   x = 150,234,842.58/11,777.50
6. Step 6: Final answer
   x = 12,756.09