Finding the Fourth Proportional to 1,322.79, 1,826.31 and 826.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,322.79 : 1,826.31 = 826.12 : x
2. Step 2: Convert to fraction form
   1,322.79/1,826.31 = 826.12/x
3. Step 3: Cross multiply
   1,322.79x = 1,826.31 × 826.12
4. Step 4: Simplify right side
   1,322.79x = 1,508,751.22
5. Step 5: Solve for x
   x = 1,508,751.22/1,322.79
6. Step 6: Final answer
   x = 1,140.58