Finding the Fourth Proportional to 13,788.16, 19,038.72 and 9,589.12

Step by Step Solution

1. Step 1: Write the proportion equation
   13,788.16 : 19,038.72 = 9,589.12 : x
2. Step 2: Convert to fraction form
   13,788.16/19,038.72 = 9,589.12/x
3. Step 3: Cross multiply
   13,788.16x = 19,038.72 × 9,589.12
4. Step 4: Simplify right side
   13,788.16x = 182,564,570.73
5. Step 5: Solve for x
   x = 182,564,570.73/13,788.16
6. Step 6: Final answer
   x = 13,240.68