Finding the Fourth Proportional to 1,492.77, 2,059.89 and 829.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.77 : 2,059.89 = 829.63 : x
2. Step 2: Convert to fraction form
   1,492.77/2,059.89 = 829.63/x
3. Step 3: Cross multiply
   1,492.77x = 2,059.89 × 829.63
4. Step 4: Simplify right side
   1,492.77x = 1,708,946.54
5. Step 5: Solve for x
   x = 1,708,946.54/1,492.77
6. Step 6: Final answer
   x = 1,144.82