Finding the Fourth Proportional to 1,492.28, 2,059.50 and 829.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.28 : 2,059.50 = 829.22 : x
2. Step 2: Convert to fraction form
   1,492.28/2,059.50 = 829.22/x
3. Step 3: Cross multiply
   1,492.28x = 2,059.50 × 829.22
4. Step 4: Simplify right side
   1,492.28x = 1,707,778.59
5. Step 5: Solve for x
   x = 1,707,778.59/1,492.28
6. Step 6: Final answer
   x = 1,144.41