Finding the Fourth Proportional to 1,099.92, 1,650.72 and 826.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.92 : 1,650.72 = 826.56 : x
2. Step 2: Convert to fraction form
   1,099.92/1,650.72 = 826.56/x
3. Step 3: Cross multiply
   1,099.92x = 1,650.72 × 826.56
4. Step 4: Simplify right side
   1,099.92x = 1,364,419.12
5. Step 5: Solve for x
   x = 1,364,419.12/1,099.92
6. Step 6: Final answer
   x = 1,240.47