Finding the Fourth Proportional to 10,456.95, 14,430.62 and 5,741.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.95 : 14,430.62 = 5,741.54 : x
2. Step 2: Convert to fraction form
   10,456.95/14,430.62 = 5,741.54/x
3. Step 3: Cross multiply
   10,456.95x = 14,430.62 × 5,741.54
4. Step 4: Simplify right side
   10,456.95x = 82,853,945.88
5. Step 5: Solve for x
   x = 82,853,945.88/10,456.95
6. Step 6: Final answer
   x = 7,923.34