Finding the Fourth Proportional to 1,340.49, 1,849.68 and 780.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,340.49 : 1,849.68 = 780.82 : x
2. Step 2: Convert to fraction form
   1,340.49/1,849.68 = 780.82/x
3. Step 3: Cross multiply
   1,340.49x = 1,849.68 × 780.82
4. Step 4: Simplify right side
   1,340.49x = 1,444,267.14
5. Step 5: Solve for x
   x = 1,444,267.14/1,340.49
6. Step 6: Final answer
   x = 1,077.42