Finding the Fourth Proportional to 1,356.27, 1,871.66 and 766.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,356.27 : 1,871.66 = 766.82 : x
2. Step 2: Convert to fraction form
   1,356.27/1,871.66 = 766.82/x
3. Step 3: Cross multiply
   1,356.27x = 1,871.66 × 766.82
4. Step 4: Simplify right side
   1,356.27x = 1,435,213.13
5. Step 5: Solve for x
   x = 1,435,213.13/1,356.27
6. Step 6: Final answer
   x = 1,058.21