Finding the Fourth Proportional to 9,586.54, 13,229.42 and 5,394.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,586.54 : 13,229.42 = 5,394.78 : x
2. Step 2: Convert to fraction form
   9,586.54/13,229.42 = 5,394.78/x
3. Step 3: Cross multiply
   9,586.54x = 13,229.42 × 5,394.78
4. Step 4: Simplify right side
   9,586.54x = 71,369,810.43
5. Step 5: Solve for x
   x = 71,369,810.43/9,586.54
6. Step 6: Final answer
   x = 7,444.79