Finding the Fourth Proportional to 9,183.58, 12,673.47 and 5,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,183.58 : 12,673.47 = 5,645.50 : x
2. Step 2: Convert to fraction form
   9,183.58/12,673.47 = 5,645.50/x
3. Step 3: Cross multiply
   9,183.58x = 12,673.47 × 5,645.50
4. Step 4: Simplify right side
   9,183.58x = 71,548,074.89
5. Step 5: Solve for x
   x = 71,548,074.89/9,183.58
6. Step 6: Final answer
   x = 7,790.87