Finding the Fourth Proportional to 1,535.30, 2,118.90 and 946.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.30 : 2,118.90 = 946.02 : x
2. Step 2: Convert to fraction form
   1,535.30/2,118.90 = 946.02/x
3. Step 3: Cross multiply
   1,535.30x = 2,118.90 × 946.02
4. Step 4: Simplify right side
   1,535.30x = 2,004,521.78
5. Step 5: Solve for x
   x = 2,004,521.78/1,535.30
6. Step 6: Final answer
   x = 1,305.62