Finding the Fourth Proportional to 1,492.47, 2,059.55 and 829.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.47 : 2,059.55 = 829.37 : x
2. Step 2: Convert to fraction form
   1,492.47/2,059.55 = 829.37/x
3. Step 3: Cross multiply
   1,492.47x = 2,059.55 × 829.37
4. Step 4: Simplify right side
   1,492.47x = 1,708,123.84
5. Step 5: Solve for x
   x = 1,708,123.84/1,492.47
6. Step 6: Final answer
   x = 1,144.49