Finding the Fourth Proportional to 1,356.25, 1,871.73 and 766.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,356.25 : 1,871.73 = 766.77 : x
2. Step 2: Convert to fraction form
   1,356.25/1,871.73 = 766.77/x
3. Step 3: Cross multiply
   1,356.25x = 1,871.73 × 766.77
4. Step 4: Simplify right side
   1,356.25x = 1,435,182.58
5. Step 5: Solve for x
   x = 1,435,182.58/1,356.25
6. Step 6: Final answer
   x = 1,058.20