Finding the Fourth Proportional to 1,423.86, 1,964.61 and 826.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,423.86 : 1,964.61 = 826.26 : x
2. Step 2: Convert to fraction form
   1,423.86/1,964.61 = 826.26/x
3. Step 3: Cross multiply
   1,423.86x = 1,964.61 × 826.26
4. Step 4: Simplify right side
   1,423.86x = 1,623,278.66
5. Step 5: Solve for x
   x = 1,623,278.66/1,423.86
6. Step 6: Final answer
   x = 1,140.05