Finding the Fourth Proportional to 1,222.24, 1,685.76 and 779.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,222.24 : 1,685.76 = 779.82 : x
2. Step 2: Convert to fraction form
   1,222.24/1,685.76 = 779.82/x
3. Step 3: Cross multiply
   1,222.24x = 1,685.76 × 779.82
4. Step 4: Simplify right side
   1,222.24x = 1,314,589.36
5. Step 5: Solve for x
   x = 1,314,589.36/1,222.24
6. Step 6: Final answer
   x = 1,075.56