Finding the Fourth Proportional to 11,589.83, 16,007.10 and 7,806.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,589.83 : 16,007.10 = 7,806.42 : x
2. Step 2: Convert to fraction form
   11,589.83/16,007.10 = 7,806.42/x
3. Step 3: Cross multiply
   11,589.83x = 16,007.10 × 7,806.42
4. Step 4: Simplify right side
   11,589.83x = 124,958,145.58
5. Step 5: Solve for x
   x = 124,958,145.58/11,589.83
6. Step 6: Final answer
   x = 10,781.71