Finding the Fourth Proportional to 1,109.55, 1,531.28 and 829.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.55 : 1,531.28 = 829.30 : x
2. Step 2: Convert to fraction form
   1,109.55/1,531.28 = 829.30/x
3. Step 3: Cross multiply
   1,109.55x = 1,531.28 × 829.30
4. Step 4: Simplify right side
   1,109.55x = 1,269,888.48
5. Step 5: Solve for x
   x = 1,269,888.48/1,109.55
6. Step 6: Final answer
   x = 1,144.51