Finding the Fourth Proportional to 1,492.32, 2,059.53 and 829.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.32 : 2,059.53 = 829.31 : x
2. Step 2: Convert to fraction form
   1,492.32/2,059.53 = 829.31/x
3. Step 3: Cross multiply
   1,492.32x = 2,059.53 × 829.31
4. Step 4: Simplify right side
   1,492.32x = 1,707,978.53
5. Step 5: Solve for x
   x = 1,707,978.53/1,492.32
6. Step 6: Final answer
   x = 1,144.51