Finding the Fourth Proportional to 1,412.35, 2,119.25 and 682.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.35 : 2,119.25 = 682.55 : x
2. Step 2: Convert to fraction form
   1,412.35/2,119.25 = 682.55/x
3. Step 3: Cross multiply
   1,412.35x = 2,119.25 × 682.55
4. Step 4: Simplify right side
   1,412.35x = 1,446,490.67
5. Step 5: Solve for x
   x = 1,446,490.67/1,412.35
6. Step 6: Final answer
   x = 1,024.17