Finding the Fourth Proportional to 10,456.76, 14,430.14 and 5,741

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.76 : 14,430.14 = 5,741 : x
2. Step 2: Convert to fraction form
   10,456.76/14,430.14 = 5,741/x
3. Step 3: Cross multiply
   10,456.76x = 14,430.14 × 5,741
4. Step 4: Simplify right side
   10,456.76x = 82,843,433.74
5. Step 5: Solve for x
   x = 82,843,433.74/10,456.76
6. Step 6: Final answer
   x = 7,922.48