Finding the Fourth Proportional to 1,361.98, 1,879.53 and 772.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,361.98 : 1,879.53 = 772.55 : x
2. Step 2: Convert to fraction form
   1,361.98/1,879.53 = 772.55/x
3. Step 3: Cross multiply
   1,361.98x = 1,879.53 × 772.55
4. Step 4: Simplify right side
   1,361.98x = 1,452,030.90
5. Step 5: Solve for x
   x = 1,452,030.90/1,361.98
6. Step 6: Final answer
   x = 1,066.12