Finding the Fourth Proportional to 1,492.69, 2,059.90 and 829.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.69 : 2,059.90 = 829.53 : x
2. Step 2: Convert to fraction form
   1,492.69/2,059.90 = 829.53/x
3. Step 3: Cross multiply
   1,492.69x = 2,059.90 × 829.53
4. Step 4: Simplify right side
   1,492.69x = 1,708,734.40
5. Step 5: Solve for x
   x = 1,708,734.40/1,492.69
6. Step 6: Final answer
   x = 1,144.73