Finding the Fourth Proportional to 1,412.64, 1,949.31 and 823.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.64 : 1,949.31 = 823.05 : x
2. Step 2: Convert to fraction form
   1,412.64/1,949.31 = 823.05/x
3. Step 3: Cross multiply
   1,412.64x = 1,949.31 × 823.05
4. Step 4: Simplify right side
   1,412.64x = 1,604,379.60
5. Step 5: Solve for x
   x = 1,604,379.60/1,412.64
6. Step 6: Final answer
   x = 1,135.73