Finding the Fourth Proportional to 1,105.89, 1,527.47 and 827.36

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.89 : 1,527.47 = 827.36 : x
2. Step 2: Convert to fraction form
   1,105.89/1,527.47 = 827.36/x
3. Step 3: Cross multiply
   1,105.89x = 1,527.47 × 827.36
4. Step 4: Simplify right side
   1,105.89x = 1,263,767.58
5. Step 5: Solve for x
   x = 1,263,767.58/1,105.89
6. Step 6: Final answer
   x = 1,142.76