Finding the Fourth Proportional to 1,304.21, 1,799.76 and 780.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,304.21 : 1,799.76 = 780.14 : x
2. Step 2: Convert to fraction form
   1,304.21/1,799.76 = 780.14/x
3. Step 3: Cross multiply
   1,304.21x = 1,799.76 × 780.14
4. Step 4: Simplify right side
   1,304.21x = 1,404,064.77
5. Step 5: Solve for x
   x = 1,404,064.77/1,304.21
6. Step 6: Final answer
   x = 1,076.56