Finding the Fourth Proportional to 9,105.50, 12,564.71 and 6,716.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,105.50 : 12,564.71 = 6,716.77 : x
2. Step 2: Convert to fraction form
   9,105.50/12,564.71 = 6,716.77/x
3. Step 3: Cross multiply
   9,105.50x = 12,564.71 × 6,716.77
4. Step 4: Simplify right side
   9,105.50x = 84,394,252.57
5. Step 5: Solve for x
   x = 84,394,252.57/9,105.50
6. Step 6: Final answer
   x = 9,268.50