Finding the Fourth Proportional to 1,459.40, 2,013.89 and 829.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,459.40 : 2,013.89 = 829.84 : x
2. Step 2: Convert to fraction form
   1,459.40/2,013.89 = 829.84/x
3. Step 3: Cross multiply
   1,459.40x = 2,013.89 × 829.84
4. Step 4: Simplify right side
   1,459.40x = 1,671,213.59
5. Step 5: Solve for x
   x = 1,671,213.59/1,459.40
6. Step 6: Final answer
   x = 1,145.14