Finding the Fourth Proportional to 2,323.10, 3,205.81 and 1,535.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,323.10 : 3,205.81 = 1,535.78 : x
2. Step 2: Convert to fraction form
   2,323.10/3,205.81 = 1,535.78/x
3. Step 3: Cross multiply
   2,323.10x = 3,205.81 × 1,535.78
4. Step 4: Simplify right side
   2,323.10x = 4,923,418.88
5. Step 5: Solve for x
   x = 4,923,418.88/2,323.10
6. Step 6: Final answer
   x = 2,119.33