Finding the Fourth Proportional to 1,196.52, 1,794.24 and 465.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.52 : 1,794.24 = 465.54 : x
2. Step 2: Convert to fraction form
   1,196.52/1,794.24 = 465.54/x
3. Step 3: Cross multiply
   1,196.52x = 1,794.24 × 465.54
4. Step 4: Simplify right side
   1,196.52x = 835,290.49
5. Step 5: Solve for x
   x = 835,290.49/1,196.52
6. Step 6: Final answer
   x = 698.10