Finding the Fourth Proportional to 10,683, 16,027.74 and 3,757.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,683 : 16,027.74 = 3,757.50 : x
2. Step 2: Convert to fraction form
   10,683/16,027.74 = 3,757.50/x
3. Step 3: Cross multiply
   10,683x = 16,027.74 × 3,757.50
4. Step 4: Simplify right side
   10,683x = 60,224,233.05
5. Step 5: Solve for x
   x = 60,224,233.05/10,683
6. Step 6: Final answer
   x = 5,637.39