Finding the Fourth Proportional to 14,456.94, 21,688.47 and 5,096.58

Step by Step Solution

1. Step 1: Write the proportion equation
   14,456.94 : 21,688.47 = 5,096.58 : x
2. Step 2: Convert to fraction form
   14,456.94/21,688.47 = 5,096.58/x
3. Step 3: Cross multiply
   14,456.94x = 21,688.47 × 5,096.58
4. Step 4: Simplify right side
   14,456.94x = 110,537,022.43
5. Step 5: Solve for x
   x = 110,537,022.43/14,456.94
6. Step 6: Final answer
   x = 7,645.95