Finding the Fourth Proportional to 9,185.34, 12,675.51 and 5,647.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,185.34 : 12,675.51 = 5,647.98 : x
2. Step 2: Convert to fraction form
   9,185.34/12,675.51 = 5,647.98/x
3. Step 3: Cross multiply
   9,185.34x = 12,675.51 × 5,647.98
4. Step 4: Simplify right side
   9,185.34x = 71,591,026.97
5. Step 5: Solve for x
   x = 71,591,026.97/9,185.34
6. Step 6: Final answer
   x = 7,794.05