Finding the Fourth Proportional to 9,853.22, 13,596.33 and 5,662.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,853.22 : 13,596.33 = 5,662.82 : x
2. Step 2: Convert to fraction form
   9,853.22/13,596.33 = 5,662.82/x
3. Step 3: Cross multiply
   9,853.22x = 13,596.33 × 5,662.82
4. Step 4: Simplify right side
   9,853.22x = 76,993,569.45
5. Step 5: Solve for x
   x = 76,993,569.45/9,853.22
6. Step 6: Final answer
   x = 7,814.05