Finding the Fourth Proportional to 1,196.41, 1,793.98 and 465.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.41 : 1,793.98 = 465.25 : x
2. Step 2: Convert to fraction form
   1,196.41/1,793.98 = 465.25/x
3. Step 3: Cross multiply
   1,196.41x = 1,793.98 × 465.25
4. Step 4: Simplify right side
   1,196.41x = 834,649.20
5. Step 5: Solve for x
   x = 834,649.20/1,196.41
6. Step 6: Final answer
   x = 697.63