Finding the Fourth Proportional to 10,760.96, 16,144.68 and 3,836

Step by Step Solution

1. Step 1: Write the proportion equation
   10,760.96 : 16,144.68 = 3,836 : x
2. Step 2: Convert to fraction form
   10,760.96/16,144.68 = 3,836/x
3. Step 3: Cross multiply
   10,760.96x = 16,144.68 × 3,836
4. Step 4: Simplify right side
   10,760.96x = 61,930,992.48
5. Step 5: Solve for x
   x = 61,930,992.48/10,760.96
6. Step 6: Final answer
   x = 5,755.15