Finding the Fourth Proportional to 1,601.27, 2,400.17 and 777.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,601.27 : 2,400.17 = 777.71 : x
2. Step 2: Convert to fraction form
   1,601.27/2,400.17 = 777.71/x
3. Step 3: Cross multiply
   1,601.27x = 2,400.17 × 777.71
4. Step 4: Simplify right side
   1,601.27x = 1,866,626.15
5. Step 5: Solve for x
   x = 1,866,626.15/1,601.27
6. Step 6: Final answer
   x = 1,165.72