Finding the Fourth Proportional to 1,492.24, 2,059.29 and 829.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.24 : 2,059.29 = 829.07 : x
2. Step 2: Convert to fraction form
   1,492.24/2,059.29 = 829.07/x
3. Step 3: Cross multiply
   1,492.24x = 2,059.29 × 829.07
4. Step 4: Simplify right side
   1,492.24x = 1,707,300.71
5. Step 5: Solve for x
   x = 1,707,300.71/1,492.24
6. Step 6: Final answer
   x = 1,144.12