Finding the Fourth Proportional to 9,564.72, 13,199.20 and 5,586.45

Step by Step Solution

1. Step 1: Write the proportion equation
   9,564.72 : 13,199.20 = 5,586.45 : x
2. Step 2: Convert to fraction form
   9,564.72/13,199.20 = 5,586.45/x
3. Step 3: Cross multiply
   9,564.72x = 13,199.20 × 5,586.45
4. Step 4: Simplify right side
   9,564.72x = 73,736,670.84
5. Step 5: Solve for x
   x = 73,736,670.84/9,564.72
6. Step 6: Final answer
   x = 7,709.23