Finding the Fourth Proportional to 1,527.73, 2,108.27 and 829.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,527.73 : 2,108.27 = 829.10 : x
2. Step 2: Convert to fraction form
   1,527.73/2,108.27 = 829.10/x
3. Step 3: Cross multiply
   1,527.73x = 2,108.27 × 829.10
4. Step 4: Simplify right side
   1,527.73x = 1,747,967.78
5. Step 5: Solve for x
   x = 1,747,967.78/1,527.73
6. Step 6: Final answer
   x = 1,144.16