Finding the Fourth Proportional to 6,856.50, 10,274.91 and 3,729.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,856.50 : 10,274.91 = 3,729.69 : x
2. Step 2: Convert to fraction form
   6,856.50/10,274.91 = 3,729.69/x
3. Step 3: Cross multiply
   6,856.50x = 10,274.91 × 3,729.69
4. Step 4: Simplify right side
   6,856.50x = 38,322,229.08
5. Step 5: Solve for x
   x = 38,322,229.08/6,856.50
6. Step 6: Final answer
   x = 5,589.18