Finding the Fourth Proportional to 7,185.38, 9,906.22 and 5,589.78

Step by Step Solution

1. Step 1: Write the proportion equation
   7,185.38 : 9,906.22 = 5,589.78 : x
2. Step 2: Convert to fraction form
   7,185.38/9,906.22 = 5,589.78/x
3. Step 3: Cross multiply
   7,185.38x = 9,906.22 × 5,589.78
4. Step 4: Simplify right side
   7,185.38x = 55,373,590.43
5. Step 5: Solve for x
   x = 55,373,590.43/7,185.38
6. Step 6: Final answer
   x = 7,706.42