Finding the Fourth Proportional to 1,290.29, 1,780.57 and 700.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,290.29 : 1,780.57 = 700.82 : x
2. Step 2: Convert to fraction form
   1,290.29/1,780.57 = 700.82/x
3. Step 3: Cross multiply
   1,290.29x = 1,780.57 × 700.82
4. Step 4: Simplify right side
   1,290.29x = 1,247,855.56
5. Step 5: Solve for x
   x = 1,247,855.56/1,290.29
6. Step 6: Final answer
   x = 967.12