Finding the Fourth Proportional to 10,461.40, 14,436.76 and 5,745.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,461.40 : 14,436.76 = 5,745.80 : x
2. Step 2: Convert to fraction form
   10,461.40/14,436.76 = 5,745.80/x
3. Step 3: Cross multiply
   10,461.40x = 14,436.76 × 5,745.80
4. Step 4: Simplify right side
   10,461.40x = 82,950,735.61
5. Step 5: Solve for x
   x = 82,950,735.61/10,461.40
6. Step 6: Final answer
   x = 7,929.22