Finding the Fourth Proportional to 1,525.71, 2,105.49 and 827.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.71 : 2,105.49 = 827.10 : x
2. Step 2: Convert to fraction form
   1,525.71/2,105.49 = 827.10/x
3. Step 3: Cross multiply
   1,525.71x = 2,105.49 × 827.10
4. Step 4: Simplify right side
   1,525.71x = 1,741,450.78
5. Step 5: Solve for x
   x = 1,741,450.78/1,525.71
6. Step 6: Final answer
   x = 1,141.40