Finding the Fourth Proportional to 13,648.78, 18,833.79 and 7,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,648.78 : 18,833.79 = 7,682.50 : x
2. Step 2: Convert to fraction form
   13,648.78/18,833.79 = 7,682.50/x
3. Step 3: Cross multiply
   13,648.78x = 18,833.79 × 7,682.50
4. Step 4: Simplify right side
   13,648.78x = 144,690,591.68
5. Step 5: Solve for x
   x = 144,690,591.68/13,648.78
6. Step 6: Final answer
   x = 10,600.99