Finding the Fourth Proportional to 9,566.82, 13,196.70 and 5,587.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,566.82 : 13,196.70 = 5,587.56 : x
2. Step 2: Convert to fraction form
   9,566.82/13,196.70 = 5,587.56/x
3. Step 3: Cross multiply
   9,566.82x = 13,196.70 × 5,587.56
4. Step 4: Simplify right side
   9,566.82x = 73,737,353.05
5. Step 5: Solve for x
   x = 73,737,353.05/9,566.82
6. Step 6: Final answer
   x = 7,707.61