Finding the Fourth Proportional to 12,964.74, 19,456.56 and 5,175.78

Step by Step Solution

1. Step 1: Write the proportion equation
   12,964.74 : 19,456.56 = 5,175.78 : x
2. Step 2: Convert to fraction form
   12,964.74/19,456.56 = 5,175.78/x
3. Step 3: Cross multiply
   12,964.74x = 19,456.56 × 5,175.78
4. Step 4: Simplify right side
   12,964.74x = 100,702,874.12
5. Step 5: Solve for x
   x = 100,702,874.12/12,964.74
6. Step 6: Final answer
   x = 7,767.44