Finding the Fourth Proportional to 1,028.52, 1,421.24 and 779.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.52 : 1,421.24 = 779.40 : x
2. Step 2: Convert to fraction form
   1,028.52/1,421.24 = 779.40/x
3. Step 3: Cross multiply
   1,028.52x = 1,421.24 × 779.40
4. Step 4: Simplify right side
   1,028.52x = 1,107,710.56
5. Step 5: Solve for x
   x = 1,107,710.56/1,028.52
6. Step 6: Final answer
   x = 1,076.99