Finding the Fourth Proportional to 2,592.65, 3,869.81 and 2,409.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.65 : 3,869.81 = 2,409.78 : x
2. Step 2: Convert to fraction form
   2,592.65/3,869.81 = 2,409.78/x
3. Step 3: Cross multiply
   2,592.65x = 3,869.81 × 2,409.78
4. Step 4: Simplify right side
   2,592.65x = 9,325,378.69
5. Step 5: Solve for x
   x = 9,325,378.69/2,592.65
6. Step 6: Final answer
   x = 3,596.86