Finding the Fourth Proportional to 11,968.86, 17,949.33 and 3,647.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11,968.86 : 17,949.33 = 3,647.82 : x
2. Step 2: Convert to fraction form
   11,968.86/17,949.33 = 3,647.82/x
3. Step 3: Cross multiply
   11,968.86x = 17,949.33 × 3,647.82
4. Step 4: Simplify right side
   11,968.86x = 65,475,924.96
5. Step 5: Solve for x
   x = 65,475,924.96/11,968.86
6. Step 6: Final answer
   x = 5,470.52