Finding the Fourth Proportional to 10,771.86, 16,157.82 and 5,843.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,771.86 : 16,157.82 = 5,843.82 : x
2. Step 2: Convert to fraction form
   10,771.86/16,157.82 = 5,843.82/x
3. Step 3: Cross multiply
   10,771.86x = 16,157.82 × 5,843.82
4. Step 4: Simplify right side
   10,771.86x = 94,423,391.67
5. Step 5: Solve for x
   x = 94,423,391.67/10,771.86
6. Step 6: Final answer
   x = 8,765.75