Finding the Fourth Proportional to 1,301.87, 1,949.27 and 684.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.87 : 1,949.27 = 684.25 : x
2. Step 2: Convert to fraction form
   1,301.87/1,949.27 = 684.25/x
3. Step 3: Cross multiply
   1,301.87x = 1,949.27 × 684.25
4. Step 4: Simplify right side
   1,301.87x = 1,333,779.70
5. Step 5: Solve for x
   x = 1,333,779.70/1,301.87
6. Step 6: Final answer
   x = 1,024.51