Finding the Fourth Proportional to 1,361.27, 1,878.71 and 771.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,361.27 : 1,878.71 = 771.75 : x
2. Step 2: Convert to fraction form
   1,361.27/1,878.71 = 771.75/x
3. Step 3: Cross multiply
   1,361.27x = 1,878.71 × 771.75
4. Step 4: Simplify right side
   1,361.27x = 1,449,890.58
5. Step 5: Solve for x
   x = 1,449,890.58/1,361.27
6. Step 6: Final answer
   x = 1,065.10