Finding the Fourth Proportional to 9,146.40, 12,628.17 and 5,744.85

Step by Step Solution

1. Step 1: Write the proportion equation
   9,146.40 : 12,628.17 = 5,744.85 : x
2. Step 2: Convert to fraction form
   9,146.40/12,628.17 = 5,744.85/x
3. Step 3: Cross multiply
   9,146.40x = 12,628.17 × 5,744.85
4. Step 4: Simplify right side
   9,146.40x = 72,546,942.42
5. Step 5: Solve for x
   x = 72,546,942.42/9,146.40
6. Step 6: Final answer
   x = 7,931.75