Finding the Fourth Proportional to 6,834.29, 9,430.71 and 3,809.30

Step by Step Solution

1. Step 1: Write the proportion equation
   6,834.29 : 9,430.71 = 3,809.30 : x
2. Step 2: Convert to fraction form
   6,834.29/9,430.71 = 3,809.30/x
3. Step 3: Cross multiply
   6,834.29x = 9,430.71 × 3,809.30
4. Step 4: Simplify right side
   6,834.29x = 35,924,342.16
5. Step 5: Solve for x
   x = 35,924,342.16/6,834.29
6. Step 6: Final answer
   x = 5,256.49