Finding the Fourth Proportional to 1,459.90, 2,014.58 and 830.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,459.90 : 2,014.58 = 830.34 : x
2. Step 2: Convert to fraction form
   1,459.90/2,014.58 = 830.34/x
3. Step 3: Cross multiply
   1,459.90x = 2,014.58 × 830.34
4. Step 4: Simplify right side
   1,459.90x = 1,672,793.47
5. Step 5: Solve for x
   x = 1,672,793.47/1,459.90
6. Step 6: Final answer
   x = 1,145.83