Finding the Fourth Proportional to 1,754.83, 2,628.46 and 829.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,754.83 : 2,628.46 = 829.00 : x
2. Step 2: Convert to fraction form
   1,754.83/2,628.46 = 829.00/x
3. Step 3: Cross multiply
   1,754.83x = 2,628.46 × 829.00
4. Step 4: Simplify right side
   1,754.83x = 2,178,976.05
5. Step 5: Solve for x
   x = 2,178,976.05/1,754.83
6. Step 6: Final answer
   x = 1,241.71