Finding the Fourth Proportional to 1,527.46, 2,107.88 and 828.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,527.46 : 2,107.88 = 828.83 : x
2. Step 2: Convert to fraction form
   1,527.46/2,107.88 = 828.83/x
3. Step 3: Cross multiply
   1,527.46x = 2,107.88 × 828.83
4. Step 4: Simplify right side
   1,527.46x = 1,747,074.18
5. Step 5: Solve for x
   x = 1,747,074.18/1,527.46
6. Step 6: Final answer
   x = 1,143.78