Finding the Fourth Proportional to 1,528.42, 2,109.22 and 829.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,528.42 : 2,109.22 = 829.78 : x
2. Step 2: Convert to fraction form
   1,528.42/2,109.22 = 829.78/x
3. Step 3: Cross multiply
   1,528.42x = 2,109.22 × 829.78
4. Step 4: Simplify right side
   1,528.42x = 1,750,188.57
5. Step 5: Solve for x
   x = 1,750,188.57/1,528.42
6. Step 6: Final answer
   x = 1,145.10