Finding the Fourth Proportional to 1,444.66, 1,993.33 and 823.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,444.66 : 1,993.33 = 823.86 : x
2. Step 2: Convert to fraction form
   1,444.66/1,993.33 = 823.86/x
3. Step 3: Cross multiply
   1,444.66x = 1,993.33 × 823.86
4. Step 4: Simplify right side
   1,444.66x = 1,642,224.85
5. Step 5: Solve for x
   x = 1,642,224.85/1,444.66
6. Step 6: Final answer
   x = 1,136.76