Finding the Fourth Proportional to 1,107.89, 1,530.23 and 829.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,107.89 : 1,530.23 = 829.35 : x
2. Step 2: Convert to fraction form
   1,107.89/1,530.23 = 829.35/x
3. Step 3: Cross multiply
   1,107.89x = 1,530.23 × 829.35
4. Step 4: Simplify right side
   1,107.89x = 1,269,096.25
5. Step 5: Solve for x
   x = 1,269,096.25/1,107.89
6. Step 6: Final answer
   x = 1,145.51