Finding the Fourth Proportional to 1,525.94, 2,105.79 and 827.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.94 : 2,105.79 = 827.31 : x
2. Step 2: Convert to fraction form
   1,525.94/2,105.79 = 827.31/x
3. Step 3: Cross multiply
   1,525.94x = 2,105.79 × 827.31
4. Step 4: Simplify right side
   1,525.94x = 1,742,141.12
5. Step 5: Solve for x
   x = 1,742,141.12/1,525.94
6. Step 6: Final answer
   x = 1,141.68