Finding the Fourth Proportional to 9,766.56, 13,475.48 and 5,788.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.56 : 13,475.48 = 5,788.64 : x
2. Step 2: Convert to fraction form
   9,766.56/13,475.48 = 5,788.64/x
3. Step 3: Cross multiply
   9,766.56x = 13,475.48 × 5,788.64
4. Step 4: Simplify right side
   9,766.56x = 78,004,702.55
5. Step 5: Solve for x
   x = 78,004,702.55/9,766.56
6. Step 6: Final answer
   x = 7,986.92