Finding the Fourth Proportional to 11,759.48, 17,635.57 and 3,966.47

Step by Step Solution

1. Step 1: Write the proportion equation
   11,759.48 : 17,635.57 = 3,966.47 : x
2. Step 2: Convert to fraction form
   11,759.48/17,635.57 = 3,966.47/x
3. Step 3: Cross multiply
   11,759.48x = 17,635.57 × 3,966.47
4. Step 4: Simplify right side
   11,759.48x = 69,950,949.69
5. Step 5: Solve for x
   x = 69,950,949.69/11,759.48
6. Step 6: Final answer
   x = 5,948.47