Finding the Fourth Proportional to 1,412.67, 2,118.80 and 682.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.67 : 2,118.80 = 682.05 : x
2. Step 2: Convert to fraction form
   1,412.67/2,118.80 = 682.05/x
3. Step 3: Cross multiply
   1,412.67x = 2,118.80 × 682.05
4. Step 4: Simplify right side
   1,412.67x = 1,445,127.54
5. Step 5: Solve for x
   x = 1,445,127.54/1,412.67
6. Step 6: Final answer
   x = 1,022.98