Finding the Fourth Proportional to 13,785.82, 19,014.69 and 9,538.18

Step by Step Solution

1. Step 1: Write the proportion equation
   13,785.82 : 19,014.69 = 9,538.18 : x
2. Step 2: Convert to fraction form
   13,785.82/19,014.69 = 9,538.18/x
3. Step 3: Cross multiply
   13,785.82x = 19,014.69 × 9,538.18
4. Step 4: Simplify right side
   13,785.82x = 181,365,535.86
5. Step 5: Solve for x
   x = 181,365,535.86/13,785.82
6. Step 6: Final answer
   x = 13,155.95