Finding the Fourth Proportional to 1,423.13, 1,964.05 and 825.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,423.13 : 1,964.05 = 825.85 : x
2. Step 2: Convert to fraction form
   1,423.13/1,964.05 = 825.85/x
3. Step 3: Cross multiply
   1,423.13x = 1,964.05 × 825.85
4. Step 4: Simplify right side
   1,423.13x = 1,622,003.72
5. Step 5: Solve for x
   x = 1,622,003.72/1,423.13
6. Step 6: Final answer
   x = 1,139.74