Finding the Fourth Proportional to 10,761.50, 16,142.86 and 3,836

Step by Step Solution

1. Step 1: Write the proportion equation
   10,761.50 : 16,142.86 = 3,836 : x
2. Step 2: Convert to fraction form
   10,761.50/16,142.86 = 3,836/x
3. Step 3: Cross multiply
   10,761.50x = 16,142.86 × 3,836
4. Step 4: Simplify right side
   10,761.50x = 61,924,010.96
5. Step 5: Solve for x
   x = 61,924,010.96/10,761.50
6. Step 6: Final answer
   x = 5,754.22