Finding the Fourth Proportional to 1,282.69, 1,766.57 and 1,105.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,282.69 : 1,766.57 = 1,105.58 : x
2. Step 2: Convert to fraction form
   1,282.69/1,766.57 = 1,105.58/x
3. Step 3: Cross multiply
   1,282.69x = 1,766.57 × 1,105.58
4. Step 4: Simplify right side
   1,282.69x = 1,953,086.46
5. Step 5: Solve for x
   x = 1,953,086.46/1,282.69
6. Step 6: Final answer
   x = 1,522.65