Finding the Fourth Proportional to 10,456.86, 14,431.47 and 5,741.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.86 : 14,431.47 = 5,741.85 : x
2. Step 2: Convert to fraction form
   10,456.86/14,431.47 = 5,741.85/x
3. Step 3: Cross multiply
   10,456.86x = 14,431.47 × 5,741.85
4. Step 4: Simplify right side
   10,456.86x = 82,863,336.02
5. Step 5: Solve for x
   x = 82,863,336.02/10,456.86
6. Step 6: Final answer
   x = 7,924.30