Finding the Fourth Proportional to 1,356.27, 1,871.66 and 766.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,356.27 : 1,871.66 = 766.81 : x
2. Step 2: Convert to fraction form
   1,356.27/1,871.66 = 766.81/x
3. Step 3: Cross multiply
   1,356.27x = 1,871.66 × 766.81
4. Step 4: Simplify right side
   1,356.27x = 1,435,211.86
5. Step 5: Solve for x
   x = 1,435,211.86/1,356.27
6. Step 6: Final answer
   x = 1,058.21