Finding the Fourth Proportional to 1,196.71, 1,794.83 and 405.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.71 : 1,794.83 = 405.98 : x
2. Step 2: Convert to fraction form
   1,196.71/1,794.83 = 405.98/x
3. Step 3: Cross multiply
   1,196.71x = 1,794.83 × 405.98
4. Step 4: Simplify right side
   1,196.71x = 728,660.81
5. Step 5: Solve for x
   x = 728,660.81/1,196.71
6. Step 6: Final answer
   x = 608.89