Finding the Fourth Proportional to 12,964.86, 19,451.07 and 5,174.82

Step by Step Solution

1. Step 1: Write the proportion equation
   12,964.86 : 19,451.07 = 5,174.82 : x
2. Step 2: Convert to fraction form
   12,964.86/19,451.07 = 5,174.82/x
3. Step 3: Cross multiply
   12,964.86x = 19,451.07 × 5,174.82
4. Step 4: Simplify right side
   12,964.86x = 100,655,786.06
5. Step 5: Solve for x
   x = 100,655,786.06/12,964.86
6. Step 6: Final answer
   x = 7,763.74