Finding the Fourth Proportional to 1,492.22, 2,059.16 and 829.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.22 : 2,059.16 = 829.05 : x
2. Step 2: Convert to fraction form
   1,492.22/2,059.16 = 829.05/x
3. Step 3: Cross multiply
   1,492.22x = 2,059.16 × 829.05
4. Step 4: Simplify right side
   1,492.22x = 1,707,142.45
5. Step 5: Solve for x
   x = 1,707,142.45/1,492.22
6. Step 6: Final answer
   x = 1,144.03