Finding the Fourth Proportional to 1,412.88, 1,949.97 and 823.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.88 : 1,949.97 = 823.74 : x
2. Step 2: Convert to fraction form
   1,412.88/1,949.97 = 823.74/x
3. Step 3: Cross multiply
   1,412.88x = 1,949.97 × 823.74
4. Step 4: Simplify right side
   1,412.88x = 1,606,264.06
5. Step 5: Solve for x
   x = 1,606,264.06/1,412.88
6. Step 6: Final answer
   x = 1,136.88