Finding the Fourth Proportional to 1,300.77, 1,951.68 and 685.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.77 : 1,951.68 = 685.02 : x
2. Step 2: Convert to fraction form
   1,300.77/1,951.68 = 685.02/x
3. Step 3: Cross multiply
   1,300.77x = 1,951.68 × 685.02
4. Step 4: Simplify right side
   1,300.77x = 1,336,939.83
5. Step 5: Solve for x
   x = 1,336,939.83/1,300.77
6. Step 6: Final answer
   x = 1,027.81