Finding the Fourth Proportional to 1,492.38, 2,059.17 and 829.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.38 : 2,059.17 = 829.10 : x
2. Step 2: Convert to fraction form
   1,492.38/2,059.17 = 829.10/x
3. Step 3: Cross multiply
   1,492.38x = 2,059.17 × 829.10
4. Step 4: Simplify right side
   1,492.38x = 1,707,247.55
5. Step 5: Solve for x
   x = 1,707,247.55/1,492.38
6. Step 6: Final answer
   x = 1,143.98