Finding the Fourth Proportional to 1,196.40, 1,794.30 and 426.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.40 : 1,794.30 = 426.72 : x
2. Step 2: Convert to fraction form
   1,196.40/1,794.30 = 426.72/x
3. Step 3: Cross multiply
   1,196.40x = 1,794.30 × 426.72
4. Step 4: Simplify right side
   1,196.40x = 765,663.70
5. Step 5: Solve for x
   x = 765,663.70/1,196.40
6. Step 6: Final answer
   x = 639.97