Finding the Fourth Proportional to 982.31, 1,470.83 and 769.10

Step by Step Solution

1. Step 1: Write the proportion equation
   982.31 : 1,470.83 = 769.10 : x
2. Step 2: Convert to fraction form
   982.31/1,470.83 = 769.10/x
3. Step 3: Cross multiply
   982.31x = 1,470.83 × 769.10
4. Step 4: Simplify right side
   982.31x = 1,131,204.15
5. Step 5: Solve for x
   x = 1,131,204.15/982.31
6. Step 6: Final answer
   x = 1,151.58