Finding the Fourth Proportional to 1,396.83, 1,926.90 and 829.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,396.83 : 1,926.90 = 829.34 : x
2. Step 2: Convert to fraction form
   1,396.83/1,926.90 = 829.34/x
3. Step 3: Cross multiply
   1,396.83x = 1,926.90 × 829.34
4. Step 4: Simplify right side
   1,396.83x = 1,598,055.25
5. Step 5: Solve for x
   x = 1,598,055.25/1,396.83
6. Step 6: Final answer
   x = 1,144.06