Finding the Fourth Proportional to 1,983.06, 2,972.79 and 828.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,983.06 : 2,972.79 = 828.18 : x
2. Step 2: Convert to fraction form
   1,983.06/2,972.79 = 828.18/x
3. Step 3: Cross multiply
   1,983.06x = 2,972.79 × 828.18
4. Step 4: Simplify right side
   1,983.06x = 2,462,005.22
5. Step 5: Solve for x
   x = 2,462,005.22/1,983.06
6. Step 6: Final answer
   x = 1,241.52