Finding the Fourth Proportional to 1,525.88, 2,105.71 and 827.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.88 : 2,105.71 = 827.25 : x
2. Step 2: Convert to fraction form
   1,525.88/2,105.71 = 827.25/x
3. Step 3: Cross multiply
   1,525.88x = 2,105.71 × 827.25
4. Step 4: Simplify right side
   1,525.88x = 1,741,948.60
5. Step 5: Solve for x
   x = 1,741,948.60/1,525.88
6. Step 6: Final answer
   x = 1,141.60