Finding the Fourth Proportional to 1,492.58, 2,059.82 and 829.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.58 : 2,059.82 = 829.43 : x
2. Step 2: Convert to fraction form
   1,492.58/2,059.82 = 829.43/x
3. Step 3: Cross multiply
   1,492.58x = 2,059.82 × 829.43
4. Step 4: Simplify right side
   1,492.58x = 1,708,476.50
5. Step 5: Solve for x
   x = 1,708,476.50/1,492.58
6. Step 6: Final answer
   x = 1,144.65