Finding the Fourth Proportional to 1,458.78, 2,013.15 and 829.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,458.78 : 2,013.15 = 829.23 : x
2. Step 2: Convert to fraction form
   1,458.78/2,013.15 = 829.23/x
3. Step 3: Cross multiply
   1,458.78x = 2,013.15 × 829.23
4. Step 4: Simplify right side
   1,458.78x = 1,669,364.37
5. Step 5: Solve for x
   x = 1,669,364.37/1,458.78
6. Step 6: Final answer
   x = 1,144.36