Finding the Fourth Proportional to 1,339.83, 1,849.13 and 780.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,339.83 : 1,849.13 = 780.30 : x
2. Step 2: Convert to fraction form
   1,339.83/1,849.13 = 780.30/x
3. Step 3: Cross multiply
   1,339.83x = 1,849.13 × 780.30
4. Step 4: Simplify right side
   1,339.83x = 1,442,876.14
5. Step 5: Solve for x
   x = 1,442,876.14/1,339.83
6. Step 6: Final answer
   x = 1,076.91