Finding the Fourth Proportional to 9,164.50, 12,647.04 and 5,627.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.50 : 12,647.04 = 5,627.68 : x
2. Step 2: Convert to fraction form
   9,164.50/12,647.04 = 5,627.68/x
3. Step 3: Cross multiply
   9,164.50x = 12,647.04 × 5,627.68
4. Step 4: Simplify right side
   9,164.50x = 71,173,494.07
5. Step 5: Solve for x
   x = 71,173,494.07/9,164.50
6. Step 6: Final answer
   x = 7,766.22