Finding the Fourth Proportional to 1,459.28, 2,013.72 and 829.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,459.28 : 2,013.72 = 829.72 : x
2. Step 2: Convert to fraction form
   1,459.28/2,013.72 = 829.72/x
3. Step 3: Cross multiply
   1,459.28x = 2,013.72 × 829.72
4. Step 4: Simplify right side
   1,459.28x = 1,670,818.72
5. Step 5: Solve for x
   x = 1,670,818.72/1,459.28
6. Step 6: Final answer
   x = 1,144.96