Finding the Fourth Proportional to 1,616.72, 2,424.12 and 589.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,616.72 : 2,424.12 = 589.52 : x
2. Step 2: Convert to fraction form
   1,616.72/2,424.12 = 589.52/x
3. Step 3: Cross multiply
   1,616.72x = 2,424.12 × 589.52
4. Step 4: Simplify right side
   1,616.72x = 1,429,067.22
5. Step 5: Solve for x
   x = 1,429,067.22/1,616.72
6. Step 6: Final answer
   x = 883.93