Finding the Fourth Proportional to 1,427.07, 1,968.72 and 829.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.07 : 1,968.72 = 829.51 : x
2. Step 2: Convert to fraction form
   1,427.07/1,968.72 = 829.51/x
3. Step 3: Cross multiply
   1,427.07x = 1,968.72 × 829.51
4. Step 4: Simplify right side
   1,427.07x = 1,633,072.93
5. Step 5: Solve for x
   x = 1,633,072.93/1,427.07
6. Step 6: Final answer
   x = 1,144.35