Finding the Fourth Proportional to 10,727.85, 16,096.22 and 5,791.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,727.85 : 16,096.22 = 5,791.69 : x
2. Step 2: Convert to fraction form
   10,727.85/16,096.22 = 5,791.69/x
3. Step 3: Cross multiply
   10,727.85x = 16,096.22 × 5,791.69
4. Step 4: Simplify right side
   10,727.85x = 93,224,238.75
5. Step 5: Solve for x
   x = 93,224,238.75/10,727.85
6. Step 6: Final answer
   x = 8,689.93