Finding the Fourth Proportional to 1,492.52, 2,059.54 and 829.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.52 : 2,059.54 = 829.37 : x
2. Step 2: Convert to fraction form
   1,492.52/2,059.54 = 829.37/x
3. Step 3: Cross multiply
   1,492.52x = 2,059.54 × 829.37
4. Step 4: Simplify right side
   1,492.52x = 1,708,123.77
5. Step 5: Solve for x
   x = 1,708,123.77/1,492.52
6. Step 6: Final answer
   x = 1,144.46