Finding the Fourth Proportional to 13,546.41, 18,693.89 and 7,578.06

Step by Step Solution

1. Step 1: Write the proportion equation
   13,546.41 : 18,693.89 = 7,578.06 : x
2. Step 2: Convert to fraction form
   13,546.41/18,693.89 = 7,578.06/x
3. Step 3: Cross multiply
   13,546.41x = 18,693.89 × 7,578.06
4. Step 4: Simplify right side
   13,546.41x = 141,663,340.48
5. Step 5: Solve for x
   x = 141,663,340.48/13,546.41
6. Step 6: Final answer
   x = 10,457.63