Finding the Fourth Proportional to 1,705.40, 2,556.54 and 827.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,705.40 : 2,556.54 = 827.72 : x
2. Step 2: Convert to fraction form
   1,705.40/2,556.54 = 827.72/x
3. Step 3: Cross multiply
   1,705.40x = 2,556.54 × 827.72
4. Step 4: Simplify right side
   1,705.40x = 2,116,099.29
5. Step 5: Solve for x
   x = 2,116,099.29/1,705.40
6. Step 6: Final answer
   x = 1,240.82