Finding the Fourth Proportional to 1,493.66, 2,061.27 and 830.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,493.66 : 2,061.27 = 830.49 : x
2. Step 2: Convert to fraction form
   1,493.66/2,061.27 = 830.49/x
3. Step 3: Cross multiply
   1,493.66x = 2,061.27 × 830.49
4. Step 4: Simplify right side
   1,493.66x = 1,711,864.12
5. Step 5: Solve for x
   x = 1,711,864.12/1,493.66
6. Step 6: Final answer
   x = 1,146.09