Finding the Fourth Proportional to 1,304.72, 1,799.52 and 780.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,304.72 : 1,799.52 = 780.08 : x
2. Step 2: Convert to fraction form
   1,304.72/1,799.52 = 780.08/x
3. Step 3: Cross multiply
   1,304.72x = 1,799.52 × 780.08
4. Step 4: Simplify right side
   1,304.72x = 1,403,769.56
5. Step 5: Solve for x
   x = 1,403,769.56/1,304.72
6. Step 6: Final answer
   x = 1,075.92