Finding the Fourth Proportional to 1,459.88, 2,015.01 and 830.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,459.88 : 2,015.01 = 830.78 : x
2. Step 2: Convert to fraction form
   1,459.88/2,015.01 = 830.78/x
3. Step 3: Cross multiply
   1,459.88x = 2,015.01 × 830.78
4. Step 4: Simplify right side
   1,459.88x = 1,674,019.93
5. Step 5: Solve for x
   x = 1,674,019.93/1,459.88
6. Step 6: Final answer
   x = 1,146.69