Finding the Fourth Proportional to 9,864.82, 13,616.49 and 5,675.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,864.82 : 13,616.49 = 5,675.86 : x
2. Step 2: Convert to fraction form
   9,864.82/13,616.49 = 5,675.86/x
3. Step 3: Cross multiply
   9,864.82x = 13,616.49 × 5,675.86
4. Step 4: Simplify right side
   9,864.82x = 77,285,290.93
5. Step 5: Solve for x
   x = 77,285,290.93/9,864.82
6. Step 6: Final answer
   x = 7,834.43