Finding the Fourth Proportional to 10,456.82, 14,430.66 and 5,741.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.82 : 14,430.66 = 5,741.18 : x
2. Step 2: Convert to fraction form
   10,456.82/14,430.66 = 5,741.18/x
3. Step 3: Cross multiply
   10,456.82x = 14,430.66 × 5,741.18
4. Step 4: Simplify right side
   10,456.82x = 82,849,016.58
5. Step 5: Solve for x
   x = 82,849,016.58/10,456.82
6. Step 6: Final answer
   x = 7,922.96