Finding the Fourth Proportional to 1,459.07, 2,013.56 and 829.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,459.07 : 2,013.56 = 829.57 : x
2. Step 2: Convert to fraction form
   1,459.07/2,013.56 = 829.57/x
3. Step 3: Cross multiply
   1,459.07x = 2,013.56 × 829.57
4. Step 4: Simplify right side
   1,459.07x = 1,670,393.01
5. Step 5: Solve for x
   x = 1,670,393.01/1,459.07
6. Step 6: Final answer
   x = 1,144.84