Finding the Fourth Proportional to 1,492.29, 2,059.53 and 829.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.29 : 2,059.53 = 829.20 : x
2. Step 2: Convert to fraction form
   1,492.29/2,059.53 = 829.20/x
3. Step 3: Cross multiply
   1,492.29x = 2,059.53 × 829.20
4. Step 4: Simplify right side
   1,492.29x = 1,707,766.89
5. Step 5: Solve for x
   x = 1,707,766.89/1,492.29
6. Step 6: Final answer
   x = 1,144.39