Finding the Fourth Proportional to 1,296.56, 1,788.54 and 830

Step by Step Solution

1. Step 1: Write the proportion equation
   1,296.56 : 1,788.54 = 830 : x
2. Step 2: Convert to fraction form
   1,296.56/1,788.54 = 830/x
3. Step 3: Cross multiply
   1,296.56x = 1,788.54 × 830
4. Step 4: Simplify right side
   1,296.56x = 1,484,488.20
5. Step 5: Solve for x
   x = 1,484,488.20/1,296.56
6. Step 6: Final answer
   x = 1,144.94