Finding the Fourth Proportional to 10,103.80, 15,145.92 and 5,175.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,103.80 : 15,145.92 = 5,175.76 : x
2. Step 2: Convert to fraction form
   10,103.80/15,145.92 = 5,175.76/x
3. Step 3: Cross multiply
   10,103.80x = 15,145.92 × 5,175.76
4. Step 4: Simplify right side
   10,103.80x = 78,391,646.90
5. Step 5: Solve for x
   x = 78,391,646.90/10,103.80
6. Step 6: Final answer
   x = 7,758.63