Finding the Fourth Proportional to 1,105.23, 1,523.50 and 905.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.23 : 1,523.50 = 905.77 : x
2. Step 2: Convert to fraction form
   1,105.23/1,523.50 = 905.77/x
3. Step 3: Cross multiply
   1,105.23x = 1,523.50 × 905.77
4. Step 4: Simplify right side
   1,105.23x = 1,379,940.60
5. Step 5: Solve for x
   x = 1,379,940.60/1,105.23
6. Step 6: Final answer
   x = 1,248.56