Finding the Fourth Proportional to 1,492.59, 2,059.59 and 829.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.59 : 2,059.59 = 829.28 : x
2. Step 2: Convert to fraction form
   1,492.59/2,059.59 = 829.28/x
3. Step 3: Cross multiply
   1,492.59x = 2,059.59 × 829.28
4. Step 4: Simplify right side
   1,492.59x = 1,707,966.50
5. Step 5: Solve for x
   x = 1,707,966.50/1,492.59
6. Step 6: Final answer
   x = 1,144.30