Finding the Fourth Proportional to 5,096.49, 7,645.50 and 1,809.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,096.49 : 7,645.50 = 1,809.31 : x
2. Step 2: Convert to fraction form
   5,096.49/7,645.50 = 1,809.31/x
3. Step 3: Cross multiply
   5,096.49x = 7,645.50 × 1,809.31
4. Step 4: Simplify right side
   5,096.49x = 13,833,032.33
5. Step 5: Solve for x
   x = 13,833,032.33/5,096.49
6. Step 6: Final answer
   x = 2,714.23