Finding the Fourth Proportional to 10,153, 14,016.90 and 7,664.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,153 : 14,016.90 = 7,664.68 : x
2. Step 2: Convert to fraction form
   10,153/14,016.90 = 7,664.68/x
3. Step 3: Cross multiply
   10,153x = 14,016.90 × 7,664.68
4. Step 4: Simplify right side
   10,153x = 107,435,053.09
5. Step 5: Solve for x
   x = 107,435,053.09/10,153
6. Step 6: Final answer
   x = 10,581.61