Finding the Fourth Proportional to 14,467.69, 21,695.86 and 5,105.71

Step by Step Solution

1. Step 1: Write the proportion equation
   14,467.69 : 21,695.86 = 5,105.71 : x
2. Step 2: Convert to fraction form
   14,467.69/21,695.86 = 5,105.71/x
3. Step 3: Cross multiply
   14,467.69x = 21,695.86 × 5,105.71
4. Step 4: Simplify right side
   14,467.69x = 110,772,769.36
5. Step 5: Solve for x
   x = 110,772,769.36/14,467.69
6. Step 6: Final answer
   x = 7,656.56