Finding the Fourth Proportional to 9,566.16, 13,200.48 and 5,586.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,566.16 : 13,200.48 = 5,586.78 : x
2. Step 2: Convert to fraction form
   9,566.16/13,200.48 = 5,586.78/x
3. Step 3: Cross multiply
   9,566.16x = 13,200.48 × 5,586.78
4. Step 4: Simplify right side
   9,566.16x = 73,748,177.65
5. Step 5: Solve for x
   x = 73,748,177.65/9,566.16
6. Step 6: Final answer
   x = 7,709.28