Finding the Fourth Proportional to 1,196.98, 1,794.38 and 427.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.98 : 1,794.38 = 427.30 : x
2. Step 2: Convert to fraction form
   1,196.98/1,794.38 = 427.30/x
3. Step 3: Cross multiply
   1,196.98x = 1,794.38 × 427.30
4. Step 4: Simplify right side
   1,196.98x = 766,731.95
5. Step 5: Solve for x
   x = 766,731.95/1,196.98
6. Step 6: Final answer
   x = 640.56