Finding the Fourth Proportional to 9,146.79, 12,628.71 and 5,745.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,146.79 : 12,628.71 = 5,745.24 : x
2. Step 2: Convert to fraction form
   9,146.79/12,628.71 = 5,745.24/x
3. Step 3: Cross multiply
   9,146.79x = 12,628.71 × 5,745.24
4. Step 4: Simplify right side
   9,146.79x = 72,554,969.84
5. Step 5: Solve for x
   x = 72,554,969.84/9,146.79
6. Step 6: Final answer
   x = 7,932.29