Finding the Fourth Proportional to 1,492.77, 2,059.99 and 829.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.77 : 2,059.99 = 829.59 : x
2. Step 2: Convert to fraction form
   1,492.77/2,059.99 = 829.59/x
3. Step 3: Cross multiply
   1,492.77x = 2,059.99 × 829.59
4. Step 4: Simplify right side
   1,492.77x = 1,708,947.10
5. Step 5: Solve for x
   x = 1,708,947.10/1,492.77
6. Step 6: Final answer
   x = 1,144.82