Finding the Fourth Proportional to 9,766.16, 13,477.56 and 5,788.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.16 : 13,477.56 = 5,788.16 : x
2. Step 2: Convert to fraction form
   9,766.16/13,477.56 = 5,788.16/x
3. Step 3: Cross multiply
   9,766.16x = 13,477.56 × 5,788.16
4. Step 4: Simplify right side
   9,766.16x = 78,010,273.69
5. Step 5: Solve for x
   x = 78,010,273.69/9,766.16
6. Step 6: Final answer
   x = 7,987.81