Finding the Fourth Proportional to 13,648.69, 18,834.96 and 7,680.34

Step by Step Solution

1. Step 1: Write the proportion equation
   13,648.69 : 18,834.96 = 7,680.34 : x
2. Step 2: Convert to fraction form
   13,648.69/18,834.96 = 7,680.34/x
3. Step 3: Cross multiply
   13,648.69x = 18,834.96 × 7,680.34
4. Step 4: Simplify right side
   13,648.69x = 144,658,896.69
5. Step 5: Solve for x
   x = 144,658,896.69/13,648.69
6. Step 6: Final answer
   x = 10,598.74