Finding the Fourth Proportional to 1,492.78, 2,059.83 and 829.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.78 : 2,059.83 = 829.57 : x
2. Step 2: Convert to fraction form
   1,492.78/2,059.83 = 829.57/x
3. Step 3: Cross multiply
   1,492.78x = 2,059.83 × 829.57
4. Step 4: Simplify right side
   1,492.78x = 1,708,773.17
5. Step 5: Solve for x
   x = 1,708,773.17/1,492.78
6. Step 6: Final answer
   x = 1,144.69