Finding the Fourth Proportional to 1,493.40, 2,060.83 and 830.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,493.40 : 2,060.83 = 830.30 : x
2. Step 2: Convert to fraction form
   1,493.40/2,060.83 = 830.30/x
3. Step 3: Cross multiply
   1,493.40x = 2,060.83 × 830.30
4. Step 4: Simplify right side
   1,493.40x = 1,711,107.15
5. Step 5: Solve for x
   x = 1,711,107.15/1,493.40
6. Step 6: Final answer
   x = 1,145.78