Finding the Fourth Proportional to 1,304.58, 1,800.82 and 780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,304.58 : 1,800.82 = 780.50 : x
2. Step 2: Convert to fraction form
   1,304.58/1,800.82 = 780.50/x
3. Step 3: Cross multiply
   1,304.58x = 1,800.82 × 780.50
4. Step 4: Simplify right side
   1,304.58x = 1,405,540.01
5. Step 5: Solve for x
   x = 1,405,540.01/1,304.58
6. Step 6: Final answer
   x = 1,077.39