Finding the Fourth Proportional to 1,196.70, 1,795.95 and 456.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.70 : 1,795.95 = 456.96 : x
2. Step 2: Convert to fraction form
   1,196.70/1,795.95 = 456.96/x
3. Step 3: Cross multiply
   1,196.70x = 1,795.95 × 456.96
4. Step 4: Simplify right side
   1,196.70x = 820,677.31
5. Step 5: Solve for x
   x = 820,677.31/1,196.70
6. Step 6: Final answer
   x = 685.78