Finding the Fourth Proportional to 9,786.81, 13,499.83 and 5,805.26

Step by Step Solution

1. Step 1: Write the proportion equation
   9,786.81 : 13,499.83 = 5,805.26 : x
2. Step 2: Convert to fraction form
   9,786.81/13,499.83 = 5,805.26/x
3. Step 3: Cross multiply
   9,786.81x = 13,499.83 × 5,805.26
4. Step 4: Simplify right side
   9,786.81x = 78,370,023.11
5. Step 5: Solve for x
   x = 78,370,023.11/9,786.81
6. Step 6: Final answer
   x = 8,007.72