Finding the Fourth Proportional to 1,492.49, 2,059.54 and 829.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.49 : 2,059.54 = 829.30 : x
2. Step 2: Convert to fraction form
   1,492.49/2,059.54 = 829.30/x
3. Step 3: Cross multiply
   1,492.49x = 2,059.54 × 829.30
4. Step 4: Simplify right side
   1,492.49x = 1,707,976.52
5. Step 5: Solve for x
   x = 1,707,976.52/1,492.49
6. Step 6: Final answer
   x = 1,144.38