Finding the Fourth Proportional to 1,423.51, 1,964.57 and 826.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,423.51 : 1,964.57 = 826.22 : x
2. Step 2: Convert to fraction form
   1,423.51/1,964.57 = 826.22/x
3. Step 3: Cross multiply
   1,423.51x = 1,964.57 × 826.22
4. Step 4: Simplify right side
   1,423.51x = 1,623,167.81
5. Step 5: Solve for x
   x = 1,623,167.81/1,423.51
6. Step 6: Final answer
   x = 1,140.26