Finding the Fourth Proportional to 1,304.52, 1,799.96 and 780.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,304.52 : 1,799.96 = 780.72 : x
2. Step 2: Convert to fraction form
   1,304.52/1,799.96 = 780.72/x
3. Step 3: Cross multiply
   1,304.52x = 1,799.96 × 780.72
4. Step 4: Simplify right side
   1,304.52x = 1,405,264.77
5. Step 5: Solve for x
   x = 1,405,264.77/1,304.52
6. Step 6: Final answer
   x = 1,077.23