Finding the Fourth Proportional to 1,361.06, 1,878.50 and 771.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,361.06 : 1,878.50 = 771.95 : x
2. Step 2: Convert to fraction form
   1,361.06/1,878.50 = 771.95/x
3. Step 3: Cross multiply
   1,361.06x = 1,878.50 × 771.95
4. Step 4: Simplify right side
   1,361.06x = 1,450,096.27
5. Step 5: Solve for x
   x = 1,450,096.27/1,361.06
6. Step 6: Final answer
   x = 1,065.41