Finding the Fourth Proportional to 13,401.75, 18,494.43 and 7,813.83

Step by Step Solution

1. Step 1: Write the proportion equation
   13,401.75 : 18,494.43 = 7,813.83 : x
2. Step 2: Convert to fraction form
   13,401.75/18,494.43 = 7,813.83/x
3. Step 3: Cross multiply
   13,401.75x = 18,494.43 × 7,813.83
4. Step 4: Simplify right side
   13,401.75x = 144,512,331.97
5. Step 5: Solve for x
   x = 144,512,331.97/13,401.75
6. Step 6: Final answer
   x = 10,783.09