Finding the Fourth Proportional to 13,729.50, 18,946.71 and 7,441.88

Step by Step Solution

1. Step 1: Write the proportion equation
   13,729.50 : 18,946.71 = 7,441.88 : x
2. Step 2: Convert to fraction form
   13,729.50/18,946.71 = 7,441.88/x
3. Step 3: Cross multiply
   13,729.50x = 18,946.71 × 7,441.88
4. Step 4: Simplify right side
   13,729.50x = 140,999,047.48
5. Step 5: Solve for x
   x = 140,999,047.48/13,729.50
6. Step 6: Final answer
   x = 10,269.79