Finding the Fourth Proportional to 1,492.71, 2,059.71 and 829.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.71 : 2,059.71 = 829.56 : x
2. Step 2: Convert to fraction form
   1,492.71/2,059.71 = 829.56/x
3. Step 3: Cross multiply
   1,492.71x = 2,059.71 × 829.56
4. Step 4: Simplify right side
   1,492.71x = 1,708,644.77
5. Step 5: Solve for x
   x = 1,708,644.77/1,492.71
6. Step 6: Final answer
   x = 1,144.66