Finding the Fourth Proportional to 9,185.20, 12,675.91 and 5,647.73

Step by Step Solution

1. Step 1: Write the proportion equation
   9,185.20 : 12,675.91 = 5,647.73 : x
2. Step 2: Convert to fraction form
   9,185.20/12,675.91 = 5,647.73/x
3. Step 3: Cross multiply
   9,185.20x = 12,675.91 × 5,647.73
4. Step 4: Simplify right side
   9,185.20x = 71,590,103.06
5. Step 5: Solve for x
   x = 71,590,103.06/9,185.20
6. Step 6: Final answer
   x = 7,794.07