Finding the Fourth Proportional to 9,819.38, 13,550.74 and 5,627.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,819.38 : 13,550.74 = 5,627.63 : x
2. Step 2: Convert to fraction form
   9,819.38/13,550.74 = 5,627.63/x
3. Step 3: Cross multiply
   9,819.38x = 13,550.74 × 5,627.63
4. Step 4: Simplify right side
   9,819.38x = 76,258,469.12
5. Step 5: Solve for x
   x = 76,258,469.12/9,819.38
6. Step 6: Final answer
   x = 7,766.12