Finding the Fourth Proportional to 1,262.82, 1,742.94 and 821.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,262.82 : 1,742.94 = 821.10 : x
2. Step 2: Convert to fraction form
   1,262.82/1,742.94 = 821.10/x
3. Step 3: Cross multiply
   1,262.82x = 1,742.94 × 821.10
4. Step 4: Simplify right side
   1,262.82x = 1,431,128.03
5. Step 5: Solve for x
   x = 1,431,128.03/1,262.82
6. Step 6: Final answer
   x = 1,133.28