Finding the Fourth Proportional to 1,525.76, 2,105.56 and 827.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.76 : 2,105.56 = 827.16 : x
2. Step 2: Convert to fraction form
   1,525.76/2,105.56 = 827.16/x
3. Step 3: Cross multiply
   1,525.76x = 2,105.56 × 827.16
4. Step 4: Simplify right side
   1,525.76x = 1,741,635.01
5. Step 5: Solve for x
   x = 1,741,635.01/1,525.76
6. Step 6: Final answer
   x = 1,141.49