Finding the Fourth Proportional to 10,782.80, 16,183.86 and 5,521.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,782.80 : 16,183.86 = 5,521.42 : x
2. Step 2: Convert to fraction form
   10,782.80/16,183.86 = 5,521.42/x
3. Step 3: Cross multiply
   10,782.80x = 16,183.86 × 5,521.42
4. Step 4: Simplify right side
   10,782.80x = 89,357,800.65
5. Step 5: Solve for x
   x = 89,357,800.65/10,782.80
6. Step 6: Final answer
   x = 8,287.07