Finding the Fourth Proportional to 828.52, 1,141.42 and 682.00

Step by Step Solution

1. Step 1: Write the proportion equation
   828.52 : 1,141.42 = 682.00 : x
2. Step 2: Convert to fraction form
   828.52/1,141.42 = 682.00/x
3. Step 3: Cross multiply
   828.52x = 1,141.42 × 682.00
4. Step 4: Simplify right side
   828.52x = 778,439.32
5. Step 5: Solve for x
   x = 778,439.32/828.52
6. Step 6: Final answer
   x = 939.56