Finding the Fourth Proportional to 6,814.71, 9,404.25 and 3,830.52

Step by Step Solution

1. Step 1: Write the proportion equation
   6,814.71 : 9,404.25 = 3,830.52 : x
2. Step 2: Convert to fraction form
   6,814.71/9,404.25 = 3,830.52/x
3. Step 3: Cross multiply
   6,814.71x = 9,404.25 × 3,830.52
4. Step 4: Simplify right side
   6,814.71x = 36,023,130.81
5. Step 5: Solve for x
   x = 36,023,130.81/6,814.71
6. Step 6: Final answer
   x = 5,286.09