Finding the Fourth Proportional to 1,525.92, 2,105.78 and 827.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.92 : 2,105.78 = 827.30 : x
2. Step 2: Convert to fraction form
   1,525.92/2,105.78 = 827.30/x
3. Step 3: Cross multiply
   1,525.92x = 2,105.78 × 827.30
4. Step 4: Simplify right side
   1,525.92x = 1,742,105.73
5. Step 5: Solve for x
   x = 1,742,105.73/1,525.92
6. Step 6: Final answer
   x = 1,141.67