Finding the Fourth Proportional to 3,096.21, 4,645.83 and 1,536.36

Step by Step Solution

1. Step 1: Write the proportion equation
   3,096.21 : 4,645.83 = 1,536.36 : x
2. Step 2: Convert to fraction form
   3,096.21/4,645.83 = 1,536.36/x
3. Step 3: Cross multiply
   3,096.21x = 4,645.83 × 1,536.36
4. Step 4: Simplify right side
   3,096.21x = 7,137,667.38
5. Step 5: Solve for x
   x = 7,137,667.38/3,096.21
6. Step 6: Final answer
   x = 2,305.29