Finding the Fourth Proportional to 1,356.35, 1,871.52 and 766.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,356.35 : 1,871.52 = 766.77 : x
2. Step 2: Convert to fraction form
   1,356.35/1,871.52 = 766.77/x
3. Step 3: Cross multiply
   1,356.35x = 1,871.52 × 766.77
4. Step 4: Simplify right side
   1,356.35x = 1,435,019.81
5. Step 5: Solve for x
   x = 1,435,019.81/1,356.35
6. Step 6: Final answer
   x = 1,058.01