Finding the Fourth Proportional to 9,187.38, 12,677.24 and 5,408.33

Step by Step Solution

1. Step 1: Write the proportion equation
   9,187.38 : 12,677.24 = 5,408.33 : x
2. Step 2: Convert to fraction form
   9,187.38/12,677.24 = 5,408.33/x
3. Step 3: Cross multiply
   9,187.38x = 12,677.24 × 5,408.33
4. Step 4: Simplify right side
   9,187.38x = 68,562,606.98
5. Step 5: Solve for x
   x = 68,562,606.98/9,187.38
6. Step 6: Final answer
   x = 7,462.69