Finding the Fourth Proportional to 2,056.59, 3,084.17 and 823.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,056.59 : 3,084.17 = 823.68 : x
2. Step 2: Convert to fraction form
   2,056.59/3,084.17 = 823.68/x
3. Step 3: Cross multiply
   2,056.59x = 3,084.17 × 823.68
4. Step 4: Simplify right side
   2,056.59x = 2,540,369.15
5. Step 5: Solve for x
   x = 2,540,369.15/2,056.59
6. Step 6: Final answer
   x = 1,235.23