Finding the Fourth Proportional to 1,527.16, 2,107.41 and 828.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,527.16 : 2,107.41 = 828.52 : x
2. Step 2: Convert to fraction form
   1,527.16/2,107.41 = 828.52/x
3. Step 3: Cross multiply
   1,527.16x = 2,107.41 × 828.52
4. Step 4: Simplify right side
   1,527.16x = 1,746,031.33
5. Step 5: Solve for x
   x = 1,746,031.33/1,527.16
6. Step 6: Final answer
   x = 1,143.32