Finding the Fourth Proportional to 3,096.34, 4,645.69 and 1,864.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,096.34 : 4,645.69 = 1,864.63 : x
2. Step 2: Convert to fraction form
   3,096.34/4,645.69 = 1,864.63/x
3. Step 3: Cross multiply
   3,096.34x = 4,645.69 × 1,864.63
4. Step 4: Simplify right side
   3,096.34x = 8,662,469.72
5. Step 5: Solve for x
   x = 8,662,469.72/3,096.34
6. Step 6: Final answer
   x = 2,797.65