Finding the Fourth Proportional to 1,219.05, 1,826.86 and 698.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,219.05 : 1,826.86 = 698.27 : x
2. Step 2: Convert to fraction form
   1,219.05/1,826.86 = 698.27/x
3. Step 3: Cross multiply
   1,219.05x = 1,826.86 × 698.27
4. Step 4: Simplify right side
   1,219.05x = 1,275,644.35
5. Step 5: Solve for x
   x = 1,275,644.35/1,219.05
6. Step 6: Final answer
   x = 1,046.42