Finding the Fourth Proportional to 3,655.50, 5,044.91 and 2,084.10

Step by Step Solution

1. Step 1: Write the proportion equation
   3,655.50 : 5,044.91 = 2,084.10 : x
2. Step 2: Convert to fraction form
   3,655.50/5,044.91 = 2,084.10/x
3. Step 3: Cross multiply
   3,655.50x = 5,044.91 × 2,084.10
4. Step 4: Simplify right side
   3,655.50x = 10,514,096.93
5. Step 5: Solve for x
   x = 10,514,096.93/3,655.50
6. Step 6: Final answer
   x = 2,876.24