Finding the Fourth Proportional to 6,814.89, 9,404.61 and 3,830.67

Step by Step Solution

1. Step 1: Write the proportion equation
   6,814.89 : 9,404.61 = 3,830.67 : x
2. Step 2: Convert to fraction form
   6,814.89/9,404.61 = 3,830.67/x
3. Step 3: Cross multiply
   6,814.89x = 9,404.61 × 3,830.67
4. Step 4: Simplify right side
   6,814.89x = 36,025,957.39
5. Step 5: Solve for x
   x = 36,025,957.39/6,814.89
6. Step 6: Final answer
   x = 5,286.36