Finding the Fourth Proportional to 1,605.98, 2,408.27 and 826.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,605.98 : 2,408.27 = 826.43 : x
2. Step 2: Convert to fraction form
   1,605.98/2,408.27 = 826.43/x
3. Step 3: Cross multiply
   1,605.98x = 2,408.27 × 826.43
4. Step 4: Simplify right side
   1,605.98x = 1,990,250.40
5. Step 5: Solve for x
   x = 1,990,250.40/1,605.98
6. Step 6: Final answer
   x = 1,239.27