Finding the Fourth Proportional to 1,535.92, 2,118.49 and 946.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.92 : 2,118.49 = 946.78 : x
2. Step 2: Convert to fraction form
   1,535.92/2,118.49 = 946.78/x
3. Step 3: Cross multiply
   1,535.92x = 2,118.49 × 946.78
4. Step 4: Simplify right side
   1,535.92x = 2,005,743.96
5. Step 5: Solve for x
   x = 2,005,743.96/1,535.92
6. Step 6: Final answer
   x = 1,305.89