Finding the Fourth Proportional to 1,459.65, 2,014.31 and 830.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,459.65 : 2,014.31 = 830.30 : x
2. Step 2: Convert to fraction form
   1,459.65/2,014.31 = 830.30/x
3. Step 3: Cross multiply
   1,459.65x = 2,014.31 × 830.30
4. Step 4: Simplify right side
   1,459.65x = 1,672,474.04
5. Step 5: Solve for x
   x = 1,672,474.04/1,459.65
6. Step 6: Final answer
   x = 1,145.81