Finding the Fourth Proportional to 1,492.14, 2,059.17 and 829.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.14 : 2,059.17 = 829.05 : x
2. Step 2: Convert to fraction form
   1,492.14/2,059.17 = 829.05/x
3. Step 3: Cross multiply
   1,492.14x = 2,059.17 × 829.05
4. Step 4: Simplify right side
   1,492.14x = 1,707,154.89
5. Step 5: Solve for x
   x = 1,707,154.89/1,492.14
6. Step 6: Final answer
   x = 1,144.10