Finding the Fourth Proportional to 1,525.81, 2,105.60 and 827.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.81 : 2,105.60 = 827.18 : x
2. Step 2: Convert to fraction form
   1,525.81/2,105.60 = 827.18/x
3. Step 3: Cross multiply
   1,525.81x = 2,105.60 × 827.18
4. Step 4: Simplify right side
   1,525.81x = 1,741,710.21
5. Step 5: Solve for x
   x = 1,741,710.21/1,525.81
6. Step 6: Final answer
   x = 1,141.50