Finding the Fourth Proportional to 1,494.14, 2,061.78 and 830.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,494.14 : 2,061.78 = 830.96 : x
2. Step 2: Convert to fraction form
   1,494.14/2,061.78 = 830.96/x
3. Step 3: Cross multiply
   1,494.14x = 2,061.78 × 830.96
4. Step 4: Simplify right side
   1,494.14x = 1,713,256.71
5. Step 5: Solve for x
   x = 1,713,256.71/1,494.14
6. Step 6: Final answer
   x = 1,146.65