Finding the Fourth Proportional to 6,969.38, 9,617.74 and 3,825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,969.38 : 9,617.74 = 3,825.50 : x
2. Step 2: Convert to fraction form
   6,969.38/9,617.74 = 3,825.50/x
3. Step 3: Cross multiply
   6,969.38x = 9,617.74 × 3,825.50
4. Step 4: Simplify right side
   6,969.38x = 36,792,606.72
5. Step 5: Solve for x
   x = 36,792,606.72/6,969.38
6. Step 6: Final answer
   x = 5,279.18