Finding the Fourth Proportional to 9,186.87, 12,676.54 and 5,407.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,186.87 : 12,676.54 = 5,407.82 : x
2. Step 2: Convert to fraction form
   9,186.87/12,676.54 = 5,407.82/x
3. Step 3: Cross multiply
   9,186.87x = 12,676.54 × 5,407.82
4. Step 4: Simplify right side
   9,186.87x = 68,552,446.54
5. Step 5: Solve for x
   x = 68,552,446.54/9,186.87
6. Step 6: Final answer
   x = 7,462.00