Finding the Fourth Proportional to 1,099.33, 1,647.15 and 774.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.33 : 1,647.15 = 774.10 : x
2. Step 2: Convert to fraction form
   1,099.33/1,647.15 = 774.10/x
3. Step 3: Cross multiply
   1,099.33x = 1,647.15 × 774.10
4. Step 4: Simplify right side
   1,099.33x = 1,275,058.82
5. Step 5: Solve for x
   x = 1,275,058.82/1,099.33
6. Step 6: Final answer
   x = 1,159.85