Finding the Fourth Proportional to 9,147.89, 12,624.72 and 5,564.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,147.89 : 12,624.72 = 5,564.25 : x
2. Step 2: Convert to fraction form
   9,147.89/12,624.72 = 5,564.25/x
3. Step 3: Cross multiply
   9,147.89x = 12,624.72 × 5,564.25
4. Step 4: Simplify right side
   9,147.89x = 70,247,098.26
5. Step 5: Solve for x
   x = 70,247,098.26/9,147.89
6. Step 6: Final answer
   x = 7,679.05