Finding the Fourth Proportional to 1,727.83, 2,384.64 and 1,020.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,727.83 : 2,384.64 = 1,020.30 : x
2. Step 2: Convert to fraction form
   1,727.83/2,384.64 = 1,020.30/x
3. Step 3: Cross multiply
   1,727.83x = 2,384.64 × 1,020.30
4. Step 4: Simplify right side
   1,727.83x = 2,433,039.25
5. Step 5: Solve for x
   x = 2,433,039.25/1,727.83
6. Step 6: Final answer
   x = 1,408.15