Finding the Fourth Proportional to 10,864.50, 16,271.56 and 9,265.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,864.50 : 16,271.56 = 9,265.86 : x
2. Step 2: Convert to fraction form
   10,864.50/16,271.56 = 9,265.86/x
3. Step 3: Cross multiply
   10,864.50x = 16,271.56 × 9,265.86
4. Step 4: Simplify right side
   10,864.50x = 150,769,996.94
5. Step 5: Solve for x
   x = 150,769,996.94/10,864.50
6. Step 6: Final answer
   x = 13,877.31