Finding the Fourth Proportional to 9,186.45, 12,673.17 and 5,648.37

Step by Step Solution

1. Step 1: Write the proportion equation
   9,186.45 : 12,673.17 = 5,648.37 : x
2. Step 2: Convert to fraction form
   9,186.45/12,673.17 = 5,648.37/x
3. Step 3: Cross multiply
   9,186.45x = 12,673.17 × 5,648.37
4. Step 4: Simplify right side
   9,186.45x = 71,582,753.23
5. Step 5: Solve for x
   x = 71,582,753.23/9,186.45
6. Step 6: Final answer
   x = 7,792.21