Finding the Fourth Proportional to 1,196.86, 1,794.84 and 456.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.86 : 1,794.84 = 456.25 : x
2. Step 2: Convert to fraction form
   1,196.86/1,794.84 = 456.25/x
3. Step 3: Cross multiply
   1,196.86x = 1,794.84 × 456.25
4. Step 4: Simplify right side
   1,196.86x = 818,895.75
5. Step 5: Solve for x
   x = 818,895.75/1,196.86
6. Step 6: Final answer
   x = 684.20