Finding the Fourth Proportional to 6,826.24, 10,224.50 and 4,185.76

Step by Step Solution

1. Step 1: Write the proportion equation
   6,826.24 : 10,224.50 = 4,185.76 : x
2. Step 2: Convert to fraction form
   6,826.24/10,224.50 = 4,185.76/x
3. Step 3: Cross multiply
   6,826.24x = 10,224.50 × 4,185.76
4. Step 4: Simplify right side
   6,826.24x = 42,797,303.12
5. Step 5: Solve for x
   x = 42,797,303.12/6,826.24
6. Step 6: Final answer
   x = 6,269.53