Finding the Fourth Proportional to 1,300.50, 1,951.74 and 684.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.50 : 1,951.74 = 684.09 : x
2. Step 2: Convert to fraction form
   1,300.50/1,951.74 = 684.09/x
3. Step 3: Cross multiply
   1,300.50x = 1,951.74 × 684.09
4. Step 4: Simplify right side
   1,300.50x = 1,335,165.82
5. Step 5: Solve for x
   x = 1,335,165.82/1,300.50
6. Step 6: Final answer
   x = 1,026.66