Finding the Fourth Proportional to 2,384.58, 3,578.55 and 1,606.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,384.58 : 3,578.55 = 1,606.07 : x
2. Step 2: Convert to fraction form
   2,384.58/3,578.55 = 1,606.07/x
3. Step 3: Cross multiply
   2,384.58x = 3,578.55 × 1,606.07
4. Step 4: Simplify right side
   2,384.58x = 5,747,404.72
5. Step 5: Solve for x
   x = 5,747,404.72/2,384.58
6. Step 6: Final answer
   x = 2,410.23