Finding the Fourth Proportional to 1,535.72, 2,302.86 and 439.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.72 : 2,302.86 = 439.82 : x
2. Step 2: Convert to fraction form
   1,535.72/2,302.86 = 439.82/x
3. Step 3: Cross multiply
   1,535.72x = 2,302.86 × 439.82
4. Step 4: Simplify right side
   1,535.72x = 1,012,843.89
5. Step 5: Solve for x
   x = 1,012,843.89/1,535.72
6. Step 6: Final answer
   x = 659.52