Finding the Fourth Proportional to 9,586.57, 13,229.46 and 5,394.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,586.57 : 13,229.46 = 5,394.82 : x
2. Step 2: Convert to fraction form
   9,586.57/13,229.46 = 5,394.82/x
3. Step 3: Cross multiply
   9,586.57x = 13,229.46 × 5,394.82
4. Step 4: Simplify right side
   9,586.57x = 71,370,555.40
5. Step 5: Solve for x
   x = 71,370,555.40/9,586.57
6. Step 6: Final answer
   x = 7,444.85