Finding the Fourth Proportional to 10,461.38, 14,436.70 and 5,745.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,461.38 : 14,436.70 = 5,745.96 : x
2. Step 2: Convert to fraction form
   10,461.38/14,436.70 = 5,745.96/x
3. Step 3: Cross multiply
   10,461.38x = 14,436.70 × 5,745.96
4. Step 4: Simplify right side
   10,461.38x = 82,952,686.37
5. Step 5: Solve for x
   x = 82,952,686.37/10,461.38
6. Step 6: Final answer
   x = 7,929.42