Finding the Fourth Proportional to 13,729.34, 18,946.59 and 7,441.76

Step by Step Solution

1. Step 1: Write the proportion equation
   13,729.34 : 18,946.59 = 7,441.76 : x
2. Step 2: Convert to fraction form
   13,729.34/18,946.59 = 7,441.76/x
3. Step 3: Cross multiply
   13,729.34x = 18,946.59 × 7,441.76
4. Step 4: Simplify right side
   13,729.34x = 140,995,975.60
5. Step 5: Solve for x
   x = 140,995,975.60/13,729.34
6. Step 6: Final answer
   x = 10,269.68