Finding the Fourth Proportional to 1,412.56, 1,949.23 and 823.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.56 : 1,949.23 = 823.02 : x
2. Step 2: Convert to fraction form
   1,412.56/1,949.23 = 823.02/x
3. Step 3: Cross multiply
   1,412.56x = 1,949.23 × 823.02
4. Step 4: Simplify right side
   1,412.56x = 1,604,255.27
5. Step 5: Solve for x
   x = 1,604,255.27/1,412.56
6. Step 6: Final answer
   x = 1,135.71