Finding the Fourth Proportional to 1,444.06, 1,992.71 and 823.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,444.06 : 1,992.71 = 823.02 : x
2. Step 2: Convert to fraction form
   1,444.06/1,992.71 = 823.02/x
3. Step 3: Cross multiply
   1,444.06x = 1,992.71 × 823.02
4. Step 4: Simplify right side
   1,444.06x = 1,640,040.18
5. Step 5: Solve for x
   x = 1,640,040.18/1,444.06
6. Step 6: Final answer
   x = 1,135.71