Finding the Fourth Proportional to 6,969.18, 9,617.31 and 3,825.30

Step by Step Solution

1. Step 1: Write the proportion equation
   6,969.18 : 9,617.31 = 3,825.30 : x
2. Step 2: Convert to fraction form
   6,969.18/9,617.31 = 3,825.30/x
3. Step 3: Cross multiply
   6,969.18x = 9,617.31 × 3,825.30
4. Step 4: Simplify right side
   6,969.18x = 36,789,095.94
5. Step 5: Solve for x
   x = 36,789,095.94/6,969.18
6. Step 6: Final answer
   x = 5,278.83