Finding the Fourth Proportional to 1,528.31, 2,109.07 and 829.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,528.31 : 2,109.07 = 829.69 : x
2. Step 2: Convert to fraction form
   1,528.31/2,109.07 = 829.69/x
3. Step 3: Cross multiply
   1,528.31x = 2,109.07 × 829.69
4. Step 4: Simplify right side
   1,528.31x = 1,749,870.05
5. Step 5: Solve for x
   x = 1,749,870.05/1,528.31
6. Step 6: Final answer
   x = 1,144.97