Finding the Fourth Proportional to 1,180.38, 1,777.56 and 1,028.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,180.38 : 1,777.56 = 1,028.15 : x
2. Step 2: Convert to fraction form
   1,180.38/1,777.56 = 1,028.15/x
3. Step 3: Cross multiply
   1,180.38x = 1,777.56 × 1,028.15
4. Step 4: Simplify right side
   1,180.38x = 1,827,589.43
5. Step 5: Solve for x
   x = 1,827,589.43/1,180.38
6. Step 6: Final answer
   x = 1,548.31