Finding the Fourth Proportional to 9,187.37, 12,677.23 and 5,408.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,187.37 : 12,677.23 = 5,408.32 : x
2. Step 2: Convert to fraction form
   9,187.37/12,677.23 = 5,408.32/x
3. Step 3: Cross multiply
   9,187.37x = 12,677.23 × 5,408.32
4. Step 4: Simplify right side
   9,187.37x = 68,562,516.55
5. Step 5: Solve for x
   x = 68,562,516.55/9,187.37
6. Step 6: Final answer
   x = 7,462.69