Finding the Fourth Proportional to 9,586.89, 13,229.78 and 5,337.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,586.89 : 13,229.78 = 5,337.83 : x
2. Step 2: Convert to fraction form
   9,586.89/13,229.78 = 5,337.83/x
3. Step 3: Cross multiply
   9,586.89x = 13,229.78 × 5,337.83
4. Step 4: Simplify right side
   9,586.89x = 70,618,223.74
5. Step 5: Solve for x
   x = 70,618,223.74/9,586.89
6. Step 6: Final answer
   x = 7,366.12