Finding the Fourth Proportional to 1,459.18, 2,013.69 and 829.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,459.18 : 2,013.69 = 829.69 : x
2. Step 2: Convert to fraction form
   1,459.18/2,013.69 = 829.69/x
3. Step 3: Cross multiply
   1,459.18x = 2,013.69 × 829.69
4. Step 4: Simplify right side
   1,459.18x = 1,670,738.46
5. Step 5: Solve for x
   x = 1,670,738.46/1,459.18
6. Step 6: Final answer
   x = 1,144.98