Finding the Fourth Proportional to 1,527.34, 2,107.73 and 828.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,527.34 : 2,107.73 = 828.72 : x
2. Step 2: Convert to fraction form
   1,527.34/2,107.73 = 828.72/x
3. Step 3: Cross multiply
   1,527.34x = 2,107.73 × 828.72
4. Step 4: Simplify right side
   1,527.34x = 1,746,718.01
5. Step 5: Solve for x
   x = 1,746,718.01/1,527.34
6. Step 6: Final answer
   x = 1,143.63