Finding the Fourth Proportional to 1,293.82, 1,940.82 and 416.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,293.82 : 1,940.82 = 416.42 : x
2. Step 2: Convert to fraction form
   1,293.82/1,940.82 = 416.42/x
3. Step 3: Cross multiply
   1,293.82x = 1,940.82 × 416.42
4. Step 4: Simplify right side
   1,293.82x = 808,196.26
5. Step 5: Solve for x
   x = 808,196.26/1,293.82
6. Step 6: Final answer
   x = 624.66