Finding the Fourth Proportional to 1,799.20, 2,697.72 and 826.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,799.20 : 2,697.72 = 826.12 : x
2. Step 2: Convert to fraction form
   1,799.20/2,697.72 = 826.12/x
3. Step 3: Cross multiply
   1,799.20x = 2,697.72 × 826.12
4. Step 4: Simplify right side
   1,799.20x = 2,228,640.45
5. Step 5: Solve for x
   x = 2,228,640.45/1,799.20
6. Step 6: Final answer
   x = 1,238.68