Finding the Fourth Proportional to 13,546.39, 18,693.84 and 7,578.04

Step by Step Solution

1. Step 1: Write the proportion equation
   13,546.39 : 18,693.84 = 7,578.04 : x
2. Step 2: Convert to fraction form
   13,546.39/18,693.84 = 7,578.04/x
3. Step 3: Cross multiply
   13,546.39x = 18,693.84 × 7,578.04
4. Step 4: Simplify right side
   13,546.39x = 141,662,667.27
5. Step 5: Solve for x
   x = 141,662,667.27/13,546.39
6. Step 6: Final answer
   x = 10,457.60