Finding the Fourth Proportional to 1,105.38, 1,523.72 and 825.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.38 : 1,523.72 = 825.19 : x
2. Step 2: Convert to fraction form
   1,105.38/1,523.72 = 825.19/x
3. Step 3: Cross multiply
   1,105.38x = 1,523.72 × 825.19
4. Step 4: Simplify right side
   1,105.38x = 1,257,356.76
5. Step 5: Solve for x
   x = 1,257,356.76/1,105.38
6. Step 6: Final answer
   x = 1,137.49