Finding the Fourth Proportional to 1,606.83, 2,410.49 and 827.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,606.83 : 2,410.49 = 827.29 : x
2. Step 2: Convert to fraction form
   1,606.83/2,410.49 = 827.29/x
3. Step 3: Cross multiply
   1,606.83x = 2,410.49 × 827.29
4. Step 4: Simplify right side
   1,606.83x = 1,994,174.27
5. Step 5: Solve for x
   x = 1,994,174.27/1,606.83
6. Step 6: Final answer
   x = 1,241.06