Finding the Fourth Proportional to 1,459.89, 2,014.50 and 830.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,459.89 : 2,014.50 = 830.43 : x
2. Step 2: Convert to fraction form
   1,459.89/2,014.50 = 830.43/x
3. Step 3: Cross multiply
   1,459.89x = 2,014.50 × 830.43
4. Step 4: Simplify right side
   1,459.89x = 1,672,901.24
5. Step 5: Solve for x
   x = 1,672,901.24/1,459.89
6. Step 6: Final answer
   x = 1,145.91