Finding the Fourth Proportional to 1,493.97, 2,061.69 and 830.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,493.97 : 2,061.69 = 830.83 : x
2. Step 2: Convert to fraction form
   1,493.97/2,061.69 = 830.83/x
3. Step 3: Cross multiply
   1,493.97x = 2,061.69 × 830.83
4. Step 4: Simplify right side
   1,493.97x = 1,712,913.90
5. Step 5: Solve for x
   x = 1,712,913.90/1,493.97
6. Step 6: Final answer
   x = 1,146.55