Finding the Fourth Proportional to 1,494.12, 2,061.89 and 830.97

Step by Step Solution

1. Step 1: Write the proportion equation
   1,494.12 : 2,061.89 = 830.97 : x
2. Step 2: Convert to fraction form
   1,494.12/2,061.89 = 830.97/x
3. Step 3: Cross multiply
   1,494.12x = 2,061.89 × 830.97
4. Step 4: Simplify right side
   1,494.12x = 1,713,367.69
5. Step 5: Solve for x
   x = 1,713,367.69/1,494.12
6. Step 6: Final answer
   x = 1,146.74