Finding the Fourth Proportional to 13,648.94, 18,835.83 and 7,680.61

Step by Step Solution

1. Step 1: Write the proportion equation
   13,648.94 : 18,835.83 = 7,680.61 : x
2. Step 2: Convert to fraction form
   13,648.94/18,835.83 = 7,680.61/x
3. Step 3: Cross multiply
   13,648.94x = 18,835.83 × 7,680.61
4. Step 4: Simplify right side
   13,648.94x = 144,670,687.80
5. Step 5: Solve for x
   x = 144,670,687.80/13,648.94
6. Step 6: Final answer
   x = 10,599.41