Finding the Fourth Proportional to 1,525.78, 2,105.52 and 827.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.78 : 2,105.52 = 827.14 : x
2. Step 2: Convert to fraction form
   1,525.78/2,105.52 = 827.14/x
3. Step 3: Cross multiply
   1,525.78x = 2,105.52 × 827.14
4. Step 4: Simplify right side
   1,525.78x = 1,741,559.81
5. Step 5: Solve for x
   x = 1,741,559.81/1,525.78
6. Step 6: Final answer
   x = 1,141.42