Finding the Fourth Proportional to 6,849.50, 9,443.71 and 5,589.28

Step by Step Solution

1. Step 1: Write the proportion equation
   6,849.50 : 9,443.71 = 5,589.28 : x
2. Step 2: Convert to fraction form
   6,849.50/9,443.71 = 5,589.28/x
3. Step 3: Cross multiply
   6,849.50x = 9,443.71 × 5,589.28
4. Step 4: Simplify right side
   6,849.50x = 52,783,501.85
5. Step 5: Solve for x
   x = 52,783,501.85/6,849.50
6. Step 6: Final answer
   x = 7,706.18