Finding the Fourth Proportional to 1,459.83, 2,014.50 and 830.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,459.83 : 2,014.50 = 830.45 : x
2. Step 2: Convert to fraction form
   1,459.83/2,014.50 = 830.45/x
3. Step 3: Cross multiply
   1,459.83x = 2,014.50 × 830.45
4. Step 4: Simplify right side
   1,459.83x = 1,672,933.67
5. Step 5: Solve for x
   x = 1,672,933.67/1,459.83
6. Step 6: Final answer
   x = 1,145.98