Finding the Fourth Proportional to 1,528.25, 2,108.98 and 829.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,528.25 : 2,108.98 = 829.62 : x
2. Step 2: Convert to fraction form
   1,528.25/2,108.98 = 829.62/x
3. Step 3: Cross multiply
   1,528.25x = 2,108.98 × 829.62
4. Step 4: Simplify right side
   1,528.25x = 1,749,649.91
5. Step 5: Solve for x
   x = 1,749,649.91/1,528.25
6. Step 6: Final answer
   x = 1,144.88