Finding the Fourth Proportional to 6,809.34, 9,396.16 and 3,825.51

Step by Step Solution

1. Step 1: Write the proportion equation
   6,809.34 : 9,396.16 = 3,825.51 : x
2. Step 2: Convert to fraction form
   6,809.34/9,396.16 = 3,825.51/x
3. Step 3: Cross multiply
   6,809.34x = 9,396.16 × 3,825.51
4. Step 4: Simplify right side
   6,809.34x = 35,945,037.93
5. Step 5: Solve for x
   x = 35,945,037.93/6,809.34
6. Step 6: Final answer
   x = 5,278.78