Finding the Fourth Proportional to 861.82, 1,292.78 and 759.82

Step by Step Solution

1. Step 1: Write the proportion equation
   861.82 : 1,292.78 = 759.82 : x
2. Step 2: Convert to fraction form
   861.82/1,292.78 = 759.82/x
3. Step 3: Cross multiply
   861.82x = 1,292.78 × 759.82
4. Step 4: Simplify right side
   861.82x = 982,280.10
5. Step 5: Solve for x
   x = 982,280.10/861.82
6. Step 6: Final answer
   x = 1,139.77