Finding the Fourth Proportional to 1,196.57, 1,794.18 and 465.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.57 : 1,794.18 = 465.31 : x
2. Step 2: Convert to fraction form
   1,196.57/1,794.18 = 465.31/x
3. Step 3: Cross multiply
   1,196.57x = 1,794.18 × 465.31
4. Step 4: Simplify right side
   1,196.57x = 834,853.88
5. Step 5: Solve for x
   x = 834,853.88/1,196.57
6. Step 6: Final answer
   x = 697.70