Finding the Fourth Proportional to 1,492.55, 2,059.57 and 829.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.55 : 2,059.57 = 829.24 : x
2. Step 2: Convert to fraction form
   1,492.55/2,059.57 = 829.24/x
3. Step 3: Cross multiply
   1,492.55x = 2,059.57 × 829.24
4. Step 4: Simplify right side
   1,492.55x = 1,707,877.83
5. Step 5: Solve for x
   x = 1,707,877.83/1,492.55
6. Step 6: Final answer
   x = 1,144.27