Finding the Fourth Proportional to 13,204.83, 18,223.20 and 7,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,204.83 : 18,223.20 = 7,540.50 : x
2. Step 2: Convert to fraction form
   13,204.83/18,223.20 = 7,540.50/x
3. Step 3: Cross multiply
   13,204.83x = 18,223.20 × 7,540.50
4. Step 4: Simplify right side
   13,204.83x = 137,412,039.60
5. Step 5: Solve for x
   x = 137,412,039.60/13,204.83
6. Step 6: Final answer
   x = 10,406.20