Finding the Fourth Proportional to 13,853, 19,117.25 and 7,565.38

Step by Step Solution

1. Step 1: Write the proportion equation
   13,853 : 19,117.25 = 7,565.38 : x
2. Step 2: Convert to fraction form
   13,853/19,117.25 = 7,565.38/x
3. Step 3: Cross multiply
   13,853x = 19,117.25 × 7,565.38
4. Step 4: Simplify right side
   13,853x = 144,629,127.39
5. Step 5: Solve for x
   x = 144,629,127.39/13,853
6. Step 6: Final answer
   x = 10,440.27