Finding the Fourth Proportional to 6,826.12, 10,228.20 and 3,906.52

Step by Step Solution

1. Step 1: Write the proportion equation
   6,826.12 : 10,228.20 = 3,906.52 : x
2. Step 2: Convert to fraction form
   6,826.12/10,228.20 = 3,906.52/x
3. Step 3: Cross multiply
   6,826.12x = 10,228.20 × 3,906.52
4. Step 4: Simplify right side
   6,826.12x = 39,956,667.86
5. Step 5: Solve for x
   x = 39,956,667.86/6,826.12
6. Step 6: Final answer
   x = 5,853.50