Finding the Fourth Proportional to 1,412.37, 1,949.13 and 822.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.37 : 1,949.13 = 822.96 : x
2. Step 2: Convert to fraction form
   1,412.37/1,949.13 = 822.96/x
3. Step 3: Cross multiply
   1,412.37x = 1,949.13 × 822.96
4. Step 4: Simplify right side
   1,412.37x = 1,604,056.02
5. Step 5: Solve for x
   x = 1,604,056.02/1,412.37
6. Step 6: Final answer
   x = 1,135.72