Finding the Fourth Proportional to 1,527.05, 2,107.32 and 828.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,527.05 : 2,107.32 = 828.42 : x
2. Step 2: Convert to fraction form
   1,527.05/2,107.32 = 828.42/x
3. Step 3: Cross multiply
   1,527.05x = 2,107.32 × 828.42
4. Step 4: Simplify right side
   1,527.05x = 1,745,746.03
5. Step 5: Solve for x
   x = 1,745,746.03/1,527.05
6. Step 6: Final answer
   x = 1,143.22