Finding the Fourth Proportional to 1,965.57, 2,947.41 and 869.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,965.57 : 2,947.41 = 869.37 : x
2. Step 2: Convert to fraction form
   1,965.57/2,947.41 = 869.37/x
3. Step 3: Cross multiply
   1,965.57x = 2,947.41 × 869.37
4. Step 4: Simplify right side
   1,965.57x = 2,562,389.83
5. Step 5: Solve for x
   x = 2,562,389.83/1,965.57
6. Step 6: Final answer
   x = 1,303.64