Finding the Fourth Proportional to 1,535.84, 2,118.72 and 946.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.84 : 2,118.72 = 946.16 : x
2. Step 2: Convert to fraction form
   1,535.84/2,118.72 = 946.16/x
3. Step 3: Cross multiply
   1,535.84x = 2,118.72 × 946.16
4. Step 4: Simplify right side
   1,535.84x = 2,004,648.12
5. Step 5: Solve for x
   x = 2,004,648.12/1,535.84
6. Step 6: Final answer
   x = 1,305.25