Finding the Fourth Proportional to 13,648.39, 18,835.14 and 7,680.27

Step by Step Solution

1. Step 1: Write the proportion equation
   13,648.39 : 18,835.14 = 7,680.27 : x
2. Step 2: Convert to fraction form
   13,648.39/18,835.14 = 7,680.27/x
3. Step 3: Cross multiply
   13,648.39x = 18,835.14 × 7,680.27
4. Step 4: Simplify right side
   13,648.39x = 144,658,960.69
5. Step 5: Solve for x
   x = 144,658,960.69/13,648.39
6. Step 6: Final answer
   x = 10,598.98