Finding the Fourth Proportional to 10,456.98, 14,430.66 and 5,741.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.98 : 14,430.66 = 5,741.57 : x
2. Step 2: Convert to fraction form
   10,456.98/14,430.66 = 5,741.57/x
3. Step 3: Cross multiply
   10,456.98x = 14,430.66 × 5,741.57
4. Step 4: Simplify right side
   10,456.98x = 82,854,648.03
5. Step 5: Solve for x
   x = 82,854,648.03/10,456.98
6. Step 6: Final answer
   x = 7,923.38