Finding the Fourth Proportional to 1,459.74, 2,014.56 and 830.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,459.74 : 2,014.56 = 830.07 : x
2. Step 2: Convert to fraction form
   1,459.74/2,014.56 = 830.07/x
3. Step 3: Cross multiply
   1,459.74x = 2,014.56 × 830.07
4. Step 4: Simplify right side
   1,459.74x = 1,672,225.82
5. Step 5: Solve for x
   x = 1,672,225.82/1,459.74
6. Step 6: Final answer
   x = 1,145.56