Finding the Fourth Proportional to 2,023.86, 2,782.83 and 1,728.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,023.86 : 2,782.83 = 1,728.60 : x
2. Step 2: Convert to fraction form
   2,023.86/2,782.83 = 1,728.60/x
3. Step 3: Cross multiply
   2,023.86x = 2,782.83 × 1,728.60
4. Step 4: Simplify right side
   2,023.86x = 4,810,399.94
5. Step 5: Solve for x
   x = 4,810,399.94/2,023.86
6. Step 6: Final answer
   x = 2,376.84