Finding the Fourth Proportional to 1,322.80, 1,826.12 and 825.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,322.80 : 1,826.12 = 825.72 : x
2. Step 2: Convert to fraction form
   1,322.80/1,826.12 = 825.72/x
3. Step 3: Cross multiply
   1,322.80x = 1,826.12 × 825.72
4. Step 4: Simplify right side
   1,322.80x = 1,507,863.81
5. Step 5: Solve for x
   x = 1,507,863.81/1,322.80
6. Step 6: Final answer
   x = 1,139.90