Finding the Fourth Proportional to 10,749, 16,124.31 and 3,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,749 : 16,124.31 = 3,823.50 : x
2. Step 2: Convert to fraction form
   10,749/16,124.31 = 3,823.50/x
3. Step 3: Cross multiply
   10,749x = 16,124.31 × 3,823.50
4. Step 4: Simplify right side
   10,749x = 61,651,299.29
5. Step 5: Solve for x
   x = 61,651,299.29/10,749
6. Step 6: Final answer
   x = 5,735.54