Finding the Fourth Proportional to 1,528.30, 2,109.09 and 829.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,528.30 : 2,109.09 = 829.69 : x
2. Step 2: Convert to fraction form
   1,528.30/2,109.09 = 829.69/x
3. Step 3: Cross multiply
   1,528.30x = 2,109.09 × 829.69
4. Step 4: Simplify right side
   1,528.30x = 1,749,890.88
5. Step 5: Solve for x
   x = 1,749,890.88/1,528.30
6. Step 6: Final answer
   x = 1,144.99