Finding the Fourth Proportional to 1,262.54, 1,741.83 and 820.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,262.54 : 1,741.83 = 820.82 : x
2. Step 2: Convert to fraction form
   1,262.54/1,741.83 = 820.82/x
3. Step 3: Cross multiply
   1,262.54x = 1,741.83 × 820.82
4. Step 4: Simplify right side
   1,262.54x = 1,429,728.90
5. Step 5: Solve for x
   x = 1,429,728.90/1,262.54
6. Step 6: Final answer
   x = 1,132.42