Finding the Fourth Proportional to 2,089.47, 2,884.49 and 1,616.29

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.47 : 2,884.49 = 1,616.29 : x
2. Step 2: Convert to fraction form
   2,089.47/2,884.49 = 1,616.29/x
3. Step 3: Cross multiply
   2,089.47x = 2,884.49 × 1,616.29
4. Step 4: Simplify right side
   2,089.47x = 4,662,173.93
5. Step 5: Solve for x
   x = 4,662,173.93/2,089.47
6. Step 6: Final answer
   x = 2,231.28