Finding the Fourth Proportional to 1,300.53, 1,951.82 and 684.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.53 : 1,951.82 = 684.60 : x
2. Step 2: Convert to fraction form
   1,300.53/1,951.82 = 684.60/x
3. Step 3: Cross multiply
   1,300.53x = 1,951.82 × 684.60
4. Step 4: Simplify right side
   1,300.53x = 1,336,215.97
5. Step 5: Solve for x
   x = 1,336,215.97/1,300.53
6. Step 6: Final answer
   x = 1,027.44