Finding the Fourth Proportional to 1,459.10, 2,013.50 and 829.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,459.10 : 2,013.50 = 829.61 : x
2. Step 2: Convert to fraction form
   1,459.10/2,013.50 = 829.61/x
3. Step 3: Cross multiply
   1,459.10x = 2,013.50 × 829.61
4. Step 4: Simplify right side
   1,459.10x = 1,670,405.52
5. Step 5: Solve for x
   x = 1,670,405.52/1,459.10
6. Step 6: Final answer
   x = 1,144.82