Finding the Fourth Proportional to 11,963.89, 17,948.42 and 3,643.68

Step by Step Solution

1. Step 1: Write the proportion equation
   11,963.89 : 17,948.42 = 3,643.68 : x
2. Step 2: Convert to fraction form
   11,963.89/17,948.42 = 3,643.68/x
3. Step 3: Cross multiply
   11,963.89x = 17,948.42 × 3,643.68
4. Step 4: Simplify right side
   11,963.89x = 65,398,308.09
5. Step 5: Solve for x
   x = 65,398,308.09/11,963.89
6. Step 6: Final answer
   x = 5,466.31