Finding the Fourth Proportional to 13,648.86, 18,834.53 and 7,680.69

Step by Step Solution

1. Step 1: Write the proportion equation
   13,648.86 : 18,834.53 = 7,680.69 : x
2. Step 2: Convert to fraction form
   13,648.86/18,834.53 = 7,680.69/x
3. Step 3: Cross multiply
   13,648.86x = 18,834.53 × 7,680.69
4. Step 4: Simplify right side
   13,648.86x = 144,662,147.82
5. Step 5: Solve for x
   x = 144,662,147.82/13,648.86
6. Step 6: Final answer
   x = 10,598.84