Finding the Fourth Proportional to 1,301.81, 1,951.83 and 684.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.81 : 1,951.83 = 684.86 : x
2. Step 2: Convert to fraction form
   1,301.81/1,951.83 = 684.86/x
3. Step 3: Cross multiply
   1,301.81x = 1,951.83 × 684.86
4. Step 4: Simplify right side
   1,301.81x = 1,336,720.53
5. Step 5: Solve for x
   x = 1,336,720.53/1,301.81
6. Step 6: Final answer
   x = 1,026.82