Finding the Fourth Proportional to 1,022.98, 1,408.71 and 760.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.98 : 1,408.71 = 760.54 : x
2. Step 2: Convert to fraction form
   1,022.98/1,408.71 = 760.54/x
3. Step 3: Cross multiply
   1,022.98x = 1,408.71 × 760.54
4. Step 4: Simplify right side
   1,022.98x = 1,071,380.30
5. Step 5: Solve for x
   x = 1,071,380.30/1,022.98
6. Step 6: Final answer
   x = 1,047.31