Finding the Fourth Proportional to 1,525.82, 2,105.63 and 827.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.82 : 2,105.63 = 827.19 : x
2. Step 2: Convert to fraction form
   1,525.82/2,105.63 = 827.19/x
3. Step 3: Cross multiply
   1,525.82x = 2,105.63 × 827.19
4. Step 4: Simplify right side
   1,525.82x = 1,741,751.94
5. Step 5: Solve for x
   x = 1,741,751.94/1,525.82
6. Step 6: Final answer
   x = 1,141.52