Finding the Fourth Proportional to 9,766.41, 13,477.89 and 5,786.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.41 : 13,477.89 = 5,786.88 : x
2. Step 2: Convert to fraction form
   9,766.41/13,477.89 = 5,786.88/x
3. Step 3: Cross multiply
   9,766.41x = 13,477.89 × 5,786.88
4. Step 4: Simplify right side
   9,766.41x = 77,994,932.08
5. Step 5: Solve for x
   x = 77,994,932.08/9,766.41
6. Step 6: Final answer
   x = 7,986.04