Finding the Fourth Proportional to 2,056.50, 3,084.44 and 823.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,056.50 : 3,084.44 = 823.59 : x
2. Step 2: Convert to fraction form
   2,056.50/3,084.44 = 823.59/x
3. Step 3: Cross multiply
   2,056.50x = 3,084.44 × 823.59
4. Step 4: Simplify right side
   2,056.50x = 2,540,309.82
5. Step 5: Solve for x
   x = 2,540,309.82/2,056.50
6. Step 6: Final answer
   x = 1,235.26