Finding the Fourth Proportional to 1,411.93, 2,118.50 and 682.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.93 : 2,118.50 = 682.05 : x
2. Step 2: Convert to fraction form
   1,411.93/2,118.50 = 682.05/x
3. Step 3: Cross multiply
   1,411.93x = 2,118.50 × 682.05
4. Step 4: Simplify right side
   1,411.93x = 1,444,914.22
5. Step 5: Solve for x
   x = 1,444,914.22/1,411.93
6. Step 6: Final answer
   x = 1,023.36