Finding the Fourth Proportional to 2,405.14, 3,608.79 and 1,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,405.14 : 3,608.79 = 1,019.50 : x
2. Step 2: Convert to fraction form
   2,405.14/3,608.79 = 1,019.50/x
3. Step 3: Cross multiply
   2,405.14x = 3,608.79 × 1,019.50
4. Step 4: Simplify right side
   2,405.14x = 3,679,161.41
5. Step 5: Solve for x
   x = 3,679,161.41/2,405.14
6. Step 6: Final answer
   x = 1,529.71