Finding the Fourth Proportional to 1,492.64, 2,059.72 and 829.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.64 : 2,059.72 = 829.38 : x
2. Step 2: Convert to fraction form
   1,492.64/2,059.72 = 829.38/x
3. Step 3: Cross multiply
   1,492.64x = 2,059.72 × 829.38
4. Step 4: Simplify right side
   1,492.64x = 1,708,290.57
5. Step 5: Solve for x
   x = 1,708,290.57/1,492.64
6. Step 6: Final answer
   x = 1,144.48