Finding the Fourth Proportional to 1,524.31, 2,103.56 and 825.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,524.31 : 2,103.56 = 825.68 : x
2. Step 2: Convert to fraction form
   1,524.31/2,103.56 = 825.68/x
3. Step 3: Cross multiply
   1,524.31x = 2,103.56 × 825.68
4. Step 4: Simplify right side
   1,524.31x = 1,736,871.65
5. Step 5: Solve for x
   x = 1,736,871.65/1,524.31
6. Step 6: Final answer
   x = 1,139.45