Finding the Fourth Proportional to 1,264.02, 1,744.02 and 821.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,264.02 : 1,744.02 = 821.82 : x
2. Step 2: Convert to fraction form
   1,264.02/1,744.02 = 821.82/x
3. Step 3: Cross multiply
   1,264.02x = 1,744.02 × 821.82
4. Step 4: Simplify right side
   1,264.02x = 1,433,270.52
5. Step 5: Solve for x
   x = 1,433,270.52/1,264.02
6. Step 6: Final answer
   x = 1,133.90