Finding the Fourth Proportional to 1,601.13, 2,399.33 and 778.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,601.13 : 2,399.33 = 778.46 : x
2. Step 2: Convert to fraction form
   1,601.13/2,399.33 = 778.46/x
3. Step 3: Cross multiply
   1,601.13x = 2,399.33 × 778.46
4. Step 4: Simplify right side
   1,601.13x = 1,867,766.54
5. Step 5: Solve for x
   x = 1,867,766.54/1,601.13
6. Step 6: Final answer
   x = 1,166.53