Finding the Fourth Proportional to 1,492.47, 2,059.61 and 829.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.47 : 2,059.61 = 829.32 : x
2. Step 2: Convert to fraction form
   1,492.47/2,059.61 = 829.32/x
3. Step 3: Cross multiply
   1,492.47x = 2,059.61 × 829.32
4. Step 4: Simplify right side
   1,492.47x = 1,708,071.62
5. Step 5: Solve for x
   x = 1,708,071.62/1,492.47
6. Step 6: Final answer
   x = 1,144.46