Finding the Fourth Proportional to 1,304.39, 1,800.27 and 780.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,304.39 : 1,800.27 = 780.53 : x
2. Step 2: Convert to fraction form
   1,304.39/1,800.27 = 780.53/x
3. Step 3: Cross multiply
   1,304.39x = 1,800.27 × 780.53
4. Step 4: Simplify right side
   1,304.39x = 1,405,155.74
5. Step 5: Solve for x
   x = 1,405,155.74/1,304.39
6. Step 6: Final answer
   x = 1,077.26