Finding the Fourth Proportional to 9,187.54, 12,677.82 and 5,410.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,187.54 : 12,677.82 = 5,410.48 : x
2. Step 2: Convert to fraction form
   9,187.54/12,677.82 = 5,410.48/x
3. Step 3: Cross multiply
   9,187.54x = 12,677.82 × 5,410.48
4. Step 4: Simplify right side
   9,187.54x = 68,593,091.55
5. Step 5: Solve for x
   x = 68,593,091.55/9,187.54
6. Step 6: Final answer
   x = 7,465.88