Finding the Fourth Proportional to 8,644, 12,894.14 and 8,501.31

Step by Step Solution

1. Step 1: Write the proportion equation
   8,644 : 12,894.14 = 8,501.31 : x
2. Step 2: Convert to fraction form
   8,644/12,894.14 = 8,501.31/x
3. Step 3: Cross multiply
   8,644x = 12,894.14 × 8,501.31
4. Step 4: Simplify right side
   8,644x = 109,617,081.32
5. Step 5: Solve for x
   x = 109,617,081.32/8,644
6. Step 6: Final answer
   x = 12,681.29