Finding the Fourth Proportional to 1,300.26, 1,950.42 and 685.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.26 : 1,950.42 = 685.20 : x
2. Step 2: Convert to fraction form
   1,300.26/1,950.42 = 685.20/x
3. Step 3: Cross multiply
   1,300.26x = 1,950.42 × 685.20
4. Step 4: Simplify right side
   1,300.26x = 1,336,427.78
5. Step 5: Solve for x
   x = 1,336,427.78/1,300.26
6. Step 6: Final answer
   x = 1,027.82