Finding the Fourth Proportional to 1,423.57, 1,964.78 and 826.44

Step by Step Solution

1. Step 1: Write the proportion equation
   1,423.57 : 1,964.78 = 826.44 : x
2. Step 2: Convert to fraction form
   1,423.57/1,964.78 = 826.44/x
3. Step 3: Cross multiply
   1,423.57x = 1,964.78 × 826.44
4. Step 4: Simplify right side
   1,423.57x = 1,623,772.78
5. Step 5: Solve for x
   x = 1,623,772.78/1,423.57
6. Step 6: Final answer
   x = 1,140.63