Finding the Fourth Proportional to 13,627.18, 18,805.69 and 7,658.49

Step by Step Solution

1. Step 1: Write the proportion equation
   13,627.18 : 18,805.69 = 7,658.49 : x
2. Step 2: Convert to fraction form
   13,627.18/18,805.69 = 7,658.49/x
3. Step 3: Cross multiply
   13,627.18x = 18,805.69 × 7,658.49
4. Step 4: Simplify right side
   13,627.18x = 144,023,150.52
5. Step 5: Solve for x
   x = 144,023,150.52/13,627.18
6. Step 6: Final answer
   x = 10,568.82