Finding the Fourth Proportional to 1,494, 2,061.71 and 830.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,494 : 2,061.71 = 830.91 : x
2. Step 2: Convert to fraction form
   1,494/2,061.71 = 830.91/x
3. Step 3: Cross multiply
   1,494x = 2,061.71 × 830.91
4. Step 4: Simplify right side
   1,494x = 1,713,091.30
5. Step 5: Solve for x
   x = 1,713,091.30/1,494
6. Step 6: Final answer
   x = 1,146.65