Finding the Fourth Proportional to 1,492.62, 2,059.82 and 829.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.62 : 2,059.82 = 829.46 : x
2. Step 2: Convert to fraction form
   1,492.62/2,059.82 = 829.46/x
3. Step 3: Cross multiply
   1,492.62x = 2,059.82 × 829.46
4. Step 4: Simplify right side
   1,492.62x = 1,708,538.30
5. Step 5: Solve for x
   x = 1,708,538.30/1,492.62
6. Step 6: Final answer
   x = 1,144.66