Finding the Fourth Proportional to 9,565.20, 13,197.82 and 5,788.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,565.20 : 13,197.82 = 5,788.27 : x
2. Step 2: Convert to fraction form
   9,565.20/13,197.82 = 5,788.27/x
3. Step 3: Cross multiply
   9,565.20x = 13,197.82 × 5,788.27
4. Step 4: Simplify right side
   9,565.20x = 76,392,516.63
5. Step 5: Solve for x
   x = 76,392,516.63/9,565.20
6. Step 6: Final answer
   x = 7,986.50