Finding the Fourth Proportional to 1,340.05, 1,849.26 and 780.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,340.05 : 1,849.26 = 780.64 : x
2. Step 2: Convert to fraction form
   1,340.05/1,849.26 = 780.64/x
3. Step 3: Cross multiply
   1,340.05x = 1,849.26 × 780.64
4. Step 4: Simplify right side
   1,340.05x = 1,443,606.33
5. Step 5: Solve for x
   x = 1,443,606.33/1,340.05
6. Step 6: Final answer
   x = 1,077.28