Finding the Fourth Proportional to 1,105.52, 1,523.90 and 825.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.52 : 1,523.90 = 825.33 : x
2. Step 2: Convert to fraction form
   1,105.52/1,523.90 = 825.33/x
3. Step 3: Cross multiply
   1,105.52x = 1,523.90 × 825.33
4. Step 4: Simplify right side
   1,105.52x = 1,257,722.45
5. Step 5: Solve for x
   x = 1,257,722.45/1,105.52
6. Step 6: Final answer
   x = 1,137.67