Finding the Fourth Proportional to 12,684.18, 17,508.82 and 7,648.58

Step by Step Solution

1. Step 1: Write the proportion equation
   12,684.18 : 17,508.82 = 7,648.58 : x
2. Step 2: Convert to fraction form
   12,684.18/17,508.82 = 7,648.58/x
3. Step 3: Cross multiply
   12,684.18x = 17,508.82 × 7,648.58
4. Step 4: Simplify right side
   12,684.18x = 133,917,610.48
5. Step 5: Solve for x
   x = 133,917,610.48/12,684.18
6. Step 6: Final answer
   x = 10,557.85