Finding the Fourth Proportional to 9,185.95, 12,676.94 and 5,648.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,185.95 : 12,676.94 = 5,648.48 : x
2. Step 2: Convert to fraction form
   9,185.95/12,676.94 = 5,648.48/x
3. Step 3: Cross multiply
   9,185.95x = 12,676.94 × 5,648.48
4. Step 4: Simplify right side
   9,185.95x = 71,605,442.05
5. Step 5: Solve for x
   x = 71,605,442.05/9,185.95
6. Step 6: Final answer
   x = 7,795.10