Finding the Fourth Proportional to 1,525.89, 2,105.72 and 827.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.89 : 2,105.72 = 827.25 : x
2. Step 2: Convert to fraction form
   1,525.89/2,105.72 = 827.25/x
3. Step 3: Cross multiply
   1,525.89x = 2,105.72 × 827.25
4. Step 4: Simplify right side
   1,525.89x = 1,741,952.73
5. Step 5: Solve for x
   x = 1,741,952.73/1,525.89
6. Step 6: Final answer
   x = 1,141.60