Finding the Fourth Proportional to 10,799.50, 16,199.25 and 3,874

Step by Step Solution

1. Step 1: Write the proportion equation
   10,799.50 : 16,199.25 = 3,874 : x
2. Step 2: Convert to fraction form
   10,799.50/16,199.25 = 3,874/x
3. Step 3: Cross multiply
   10,799.50x = 16,199.25 × 3,874
4. Step 4: Simplify right side
   10,799.50x = 62,755,894.50
5. Step 5: Solve for x
   x = 62,755,894.50/10,799.50
6. Step 6: Final answer
   x = 5,811