Finding the Fourth Proportional to 1,356.43, 1,871.85 and 825.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,356.43 : 1,871.85 = 825.12 : x
2. Step 2: Convert to fraction form
   1,356.43/1,871.85 = 825.12/x
3. Step 3: Cross multiply
   1,356.43x = 1,871.85 × 825.12
4. Step 4: Simplify right side
   1,356.43x = 1,544,500.87
5. Step 5: Solve for x
   x = 1,544,500.87/1,356.43
6. Step 6: Final answer
   x = 1,138.65