Finding the Fourth Proportional to 1,492.28, 2,059.31 and 829.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.28 : 2,059.31 = 829.09 : x
2. Step 2: Convert to fraction form
   1,492.28/2,059.31 = 829.09/x
3. Step 3: Cross multiply
   1,492.28x = 2,059.31 × 829.09
4. Step 4: Simplify right side
   1,492.28x = 1,707,338.89
5. Step 5: Solve for x
   x = 1,707,338.89/1,492.28
6. Step 6: Final answer
   x = 1,144.12