Finding the Fourth Proportional to 13,578.50, 18,738.86 and 7,610.29

Step by Step Solution

1. Step 1: Write the proportion equation
   13,578.50 : 18,738.86 = 7,610.29 : x
2. Step 2: Convert to fraction form
   13,578.50/18,738.86 = 7,610.29/x
3. Step 3: Cross multiply
   13,578.50x = 18,738.86 × 7,610.29
4. Step 4: Simplify right side
   13,578.50x = 142,608,073.97
5. Step 5: Solve for x
   x = 142,608,073.97/13,578.50
6. Step 6: Final answer
   x = 10,502.49