Finding the Fourth Proportional to 1,525.67, 2,105.42 and 827.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.67 : 2,105.42 = 827.04 : x
2. Step 2: Convert to fraction form
   1,525.67/2,105.42 = 827.04/x
3. Step 3: Cross multiply
   1,525.67x = 2,105.42 × 827.04
4. Step 4: Simplify right side
   1,525.67x = 1,741,266.56
5. Step 5: Solve for x
   x = 1,741,266.56/1,525.67
6. Step 6: Final answer
   x = 1,141.31