Finding the Fourth Proportional to 12,769.23, 19,143.50 and 5,744.10

Step by Step Solution

1. Step 1: Write the proportion equation
   12,769.23 : 19,143.50 = 5,744.10 : x
2. Step 2: Convert to fraction form
   12,769.23/19,143.50 = 5,744.10/x
3. Step 3: Cross multiply
   12,769.23x = 19,143.50 × 5,744.10
4. Step 4: Simplify right side
   12,769.23x = 109,962,149.63
5. Step 5: Solve for x
   x = 109,962,149.63/12,769.23
6. Step 6: Final answer
   x = 8,611.49