Finding the Fourth Proportional to 1,264.12, 1,743.72 and 822.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,264.12 : 1,743.72 = 822.31 : x
2. Step 2: Convert to fraction form
   1,264.12/1,743.72 = 822.31/x
3. Step 3: Cross multiply
   1,264.12x = 1,743.72 × 822.31
4. Step 4: Simplify right side
   1,264.12x = 1,433,878.39
5. Step 5: Solve for x
   x = 1,433,878.39/1,264.12
6. Step 6: Final answer
   x = 1,134.29