Finding the Fourth Proportional to 8,214.68, 12,314.72 and 3,826.10

Step by Step Solution

1. Step 1: Write the proportion equation
   8,214.68 : 12,314.72 = 3,826.10 : x
2. Step 2: Convert to fraction form
   8,214.68/12,314.72 = 3,826.10/x
3. Step 3: Cross multiply
   8,214.68x = 12,314.72 × 3,826.10
4. Step 4: Simplify right side
   8,214.68x = 47,117,269.49
5. Step 5: Solve for x
   x = 47,117,269.49/8,214.68
6. Step 6: Final answer
   x = 5,735.74