Finding the Fourth Proportional to 1,492.34, 2,059.41 and 829.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.34 : 2,059.41 = 829.15 : x
2. Step 2: Convert to fraction form
   1,492.34/2,059.41 = 829.15/x
3. Step 3: Cross multiply
   1,492.34x = 2,059.41 × 829.15
4. Step 4: Simplify right side
   1,492.34x = 1,707,549.50
5. Step 5: Solve for x
   x = 1,707,549.50/1,492.34
6. Step 6: Final answer
   x = 1,144.21