Finding the Fourth Proportional to 1,340.34, 1,849.35 and 780.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,340.34 : 1,849.35 = 780.47 : x
2. Step 2: Convert to fraction form
   1,340.34/1,849.35 = 780.47/x
3. Step 3: Cross multiply
   1,340.34x = 1,849.35 × 780.47
4. Step 4: Simplify right side
   1,340.34x = 1,443,356.96
5. Step 5: Solve for x
   x = 1,443,356.96/1,340.34
6. Step 6: Final answer
   x = 1,076.86