Finding the Fourth Proportional to 11,781.98, 17,641.41 and 6,223.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11,781.98 : 17,641.41 = 6,223.82 : x
2. Step 2: Convert to fraction form
   11,781.98/17,641.41 = 6,223.82/x
3. Step 3: Cross multiply
   11,781.98x = 17,641.41 × 6,223.82
4. Step 4: Simplify right side
   11,781.98x = 109,796,960.39
5. Step 5: Solve for x
   x = 109,796,960.39/11,781.98
6. Step 6: Final answer
   x = 9,319.06