Finding the Fourth Proportional to 10,456.83, 14,430.15 and 5,741.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.83 : 14,430.15 = 5,741.55 : x
2. Step 2: Convert to fraction form
   10,456.83/14,430.15 = 5,741.55/x
3. Step 3: Cross multiply
   10,456.83x = 14,430.15 × 5,741.55
4. Step 4: Simplify right side
   10,456.83x = 82,851,427.73
5. Step 5: Solve for x
   x = 82,851,427.73/10,456.83
6. Step 6: Final answer
   x = 7,923.19