Finding the Fourth Proportional to 1,527.31, 2,107.69 and 828.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,527.31 : 2,107.69 = 828.69 : x
2. Step 2: Convert to fraction form
   1,527.31/2,107.69 = 828.69/x
3. Step 3: Cross multiply
   1,527.31x = 2,107.69 × 828.69
4. Step 4: Simplify right side
   1,527.31x = 1,746,606.94
5. Step 5: Solve for x
   x = 1,746,606.94/1,527.31
6. Step 6: Final answer
   x = 1,143.58