Finding the Fourth Proportional to 1,301.72, 1,950.27 and 685.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.72 : 1,950.27 = 685.86 : x
2. Step 2: Convert to fraction form
   1,301.72/1,950.27 = 685.86/x
3. Step 3: Cross multiply
   1,301.72x = 1,950.27 × 685.86
4. Step 4: Simplify right side
   1,301.72x = 1,337,611.27
5. Step 5: Solve for x
   x = 1,337,611.27/1,301.72
6. Step 6: Final answer
   x = 1,027.57