Finding the Fourth Proportional to 1,340.42, 1,849.73 and 780.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,340.42 : 1,849.73 = 780.92 : x
2. Step 2: Convert to fraction form
   1,340.42/1,849.73 = 780.92/x
3. Step 3: Cross multiply
   1,340.42x = 1,849.73 × 780.92
4. Step 4: Simplify right side
   1,340.42x = 1,444,491.15
5. Step 5: Solve for x
   x = 1,444,491.15/1,340.42
6. Step 6: Final answer
   x = 1,077.64