Finding the Fourth Proportional to 9,566.56, 13,198.98 and 5,584.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,566.56 : 13,198.98 = 5,584.96 : x
2. Step 2: Convert to fraction form
   9,566.56/13,198.98 = 5,584.96/x
3. Step 3: Cross multiply
   9,566.56x = 13,198.98 × 5,584.96
4. Step 4: Simplify right side
   9,566.56x = 73,715,775.34
5. Step 5: Solve for x
   x = 73,715,775.34/9,566.56
6. Step 6: Final answer
   x = 7,705.57