Finding the Fourth Proportional to 1,528.57, 2,109.42 and 829.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,528.57 : 2,109.42 = 829.94 : x
2. Step 2: Convert to fraction form
   1,528.57/2,109.42 = 829.94/x
3. Step 3: Cross multiply
   1,528.57x = 2,109.42 × 829.94
4. Step 4: Simplify right side
   1,528.57x = 1,750,687.89
5. Step 5: Solve for x
   x = 1,750,687.89/1,528.57
6. Step 6: Final answer
   x = 1,145.31