Finding the Fourth Proportional to 1,196.96, 1,795.53 and 466.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.96 : 1,795.53 = 466.53 : x
2. Step 2: Convert to fraction form
   1,196.96/1,795.53 = 466.53/x
3. Step 3: Cross multiply
   1,196.96x = 1,795.53 × 466.53
4. Step 4: Simplify right side
   1,196.96x = 837,668.61
5. Step 5: Solve for x
   x = 837,668.61/1,196.96
6. Step 6: Final answer
   x = 699.83