Finding the Fourth Proportional to 12,682.61, 17,509.04 and 7,648.10

Step by Step Solution

1. Step 1: Write the proportion equation
   12,682.61 : 17,509.04 = 7,648.10 : x
2. Step 2: Convert to fraction form
   12,682.61/17,509.04 = 7,648.10/x
3. Step 3: Cross multiply
   12,682.61x = 17,509.04 × 7,648.10
4. Step 4: Simplify right side
   12,682.61x = 133,910,955.87
5. Step 5: Solve for x
   x = 133,910,955.87/12,682.61
6. Step 6: Final answer
   x = 10,558.63