Finding the Fourth Proportional to 6,343.69, 8,757.81 and 3,826.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,343.69 : 8,757.81 = 3,826.42 : x
2. Step 2: Convert to fraction form
   6,343.69/8,757.81 = 3,826.42/x
3. Step 3: Cross multiply
   6,343.69x = 8,757.81 × 3,826.42
4. Step 4: Simplify right side
   6,343.69x = 33,511,059.34
5. Step 5: Solve for x
   x = 33,511,059.34/6,343.69
6. Step 6: Final answer
   x = 5,282.58