Finding the Fourth Proportional to 12,682.68, 17,498.46 and 7,644.48

Step by Step Solution

1. Step 1: Write the proportion equation
   12,682.68 : 17,498.46 = 7,644.48 : x
2. Step 2: Convert to fraction form
   12,682.68/17,498.46 = 7,644.48/x
3. Step 3: Cross multiply
   12,682.68x = 17,498.46 × 7,644.48
4. Step 4: Simplify right side
   12,682.68x = 133,766,627.50
5. Step 5: Solve for x
   x = 133,766,627.50/12,682.68
6. Step 6: Final answer
   x = 10,547.19