Finding the Fourth Proportional to 6,945.40, 9,584.68 and 3,962.17

Step by Step Solution

1. Step 1: Write the proportion equation
   6,945.40 : 9,584.68 = 3,962.17 : x
2. Step 2: Convert to fraction form
   6,945.40/9,584.68 = 3,962.17/x
3. Step 3: Cross multiply
   6,945.40x = 9,584.68 × 3,962.17
4. Step 4: Simplify right side
   6,945.40x = 37,976,087.15
5. Step 5: Solve for x
   x = 37,976,087.15/6,945.40
6. Step 6: Final answer
   x = 5,467.81