Finding the Fourth Proportional to 9,154.48, 12,633.83 and 5,175.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,154.48 : 12,633.83 = 5,175.63 : x
2. Step 2: Convert to fraction form
   9,154.48/12,633.83 = 5,175.63/x
3. Step 3: Cross multiply
   9,154.48x = 12,633.83 × 5,175.63
4. Step 4: Simplify right side
   9,154.48x = 65,388,029.56
5. Step 5: Solve for x
   x = 65,388,029.56/9,154.48
6. Step 6: Final answer
   x = 7,142.74