Finding the Fourth Proportional to 1,423.98, 1,965.06 and 826.11

Step by Step Solution

1. Step 1: Write the proportion equation
   1,423.98 : 1,965.06 = 826.11 : x
2. Step 2: Convert to fraction form
   1,423.98/1,965.06 = 826.11/x
3. Step 3: Cross multiply
   1,423.98x = 1,965.06 × 826.11
4. Step 4: Simplify right side
   1,423.98x = 1,623,355.72
5. Step 5: Solve for x
   x = 1,623,355.72/1,423.98
6. Step 6: Final answer
   x = 1,140.01