Finding the Fourth Proportional to 1,493.54, 2,061.07 and 830.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,493.54 : 2,061.07 = 830.38 : x
2. Step 2: Convert to fraction form
   1,493.54/2,061.07 = 830.38/x
3. Step 3: Cross multiply
   1,493.54x = 2,061.07 × 830.38
4. Step 4: Simplify right side
   1,493.54x = 1,711,477.23
5. Step 5: Solve for x
   x = 1,711,477.23/1,493.54
6. Step 6: Final answer
   x = 1,145.92