Finding the Fourth Proportional to 1,493.82, 2,061.54 and 830.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,493.82 : 2,061.54 = 830.65 : x
2. Step 2: Convert to fraction form
   1,493.82/2,061.54 = 830.65/x
3. Step 3: Cross multiply
   1,493.82x = 2,061.54 × 830.65
4. Step 4: Simplify right side
   1,493.82x = 1,712,418.20
5. Step 5: Solve for x
   x = 1,712,418.20/1,493.82
6. Step 6: Final answer
   x = 1,146.34