Finding the Fourth Proportional to 13,648.73, 18,833.71 and 7,680.27

Step by Step Solution

1. Step 1: Write the proportion equation
   13,648.73 : 18,833.71 = 7,680.27 : x
2. Step 2: Convert to fraction form
   13,648.73/18,833.71 = 7,680.27/x
3. Step 3: Cross multiply
   13,648.73x = 18,833.71 × 7,680.27
4. Step 4: Simplify right side
   13,648.73x = 144,647,977.90
5. Step 5: Solve for x
   x = 144,647,977.90/13,648.73
6. Step 6: Final answer
   x = 10,597.91