Finding the Fourth Proportional to 1,492.40, 2,059.34 and 829.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.40 : 2,059.34 = 829.42 : x
2. Step 2: Convert to fraction form
   1,492.40/2,059.34 = 829.42/x
3. Step 3: Cross multiply
   1,492.40x = 2,059.34 × 829.42
4. Step 4: Simplify right side
   1,492.40x = 1,708,057.78
5. Step 5: Solve for x
   x = 1,708,057.78/1,492.40
6. Step 6: Final answer
   x = 1,144.50