Finding the Fourth Proportional to 1,459.59, 2,014.15 and 830.11

Step by Step Solution

1. Step 1: Write the proportion equation
   1,459.59 : 2,014.15 = 830.11 : x
2. Step 2: Convert to fraction form
   1,459.59/2,014.15 = 830.11/x
3. Step 3: Cross multiply
   1,459.59x = 2,014.15 × 830.11
4. Step 4: Simplify right side
   1,459.59x = 1,671,966.06
5. Step 5: Solve for x
   x = 1,671,966.06/1,459.59
6. Step 6: Final answer
   x = 1,145.50