Finding the Fourth Proportional to 1,324.56, 1,826.72 and 826.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,324.56 : 1,826.72 = 826.64 : x
2. Step 2: Convert to fraction form
   1,324.56/1,826.72 = 826.64/x
3. Step 3: Cross multiply
   1,324.56x = 1,826.72 × 826.64
4. Step 4: Simplify right side
   1,324.56x = 1,510,039.82
5. Step 5: Solve for x
   x = 1,510,039.82/1,324.56
6. Step 6: Final answer
   x = 1,140.03