Finding the Fourth Proportional to 1,504.98, 2,076.81 and 823.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,504.98 : 2,076.81 = 823.61 : x
2. Step 2: Convert to fraction form
   1,504.98/2,076.81 = 823.61/x
3. Step 3: Cross multiply
   1,504.98x = 2,076.81 × 823.61
4. Step 4: Simplify right side
   1,504.98x = 1,710,476.54
5. Step 5: Solve for x
   x = 1,710,476.54/1,504.98
6. Step 6: Final answer
   x = 1,136.54