Finding the Fourth Proportional to 1,459.62, 2,014.28 and 830.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,459.62 : 2,014.28 = 830.15 : x
2. Step 2: Convert to fraction form
   1,459.62/2,014.28 = 830.15/x
3. Step 3: Cross multiply
   1,459.62x = 2,014.28 × 830.15
4. Step 4: Simplify right side
   1,459.62x = 1,672,140.32
5. Step 5: Solve for x
   x = 1,672,140.32/1,459.62
6. Step 6: Final answer
   x = 1,145.60