Finding the Fourth Proportional to 1,265.83, 1,895.24 and 648.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,265.83 : 1,895.24 = 648.20 : x
2. Step 2: Convert to fraction form
   1,265.83/1,895.24 = 648.20/x
3. Step 3: Cross multiply
   1,265.83x = 1,895.24 × 648.20
4. Step 4: Simplify right side
   1,265.83x = 1,228,500.93
5. Step 5: Solve for x
   x = 1,228,500.93/1,265.83
6. Step 6: Final answer
   x = 970.51