Finding the Fourth Proportional to 11,664.21, 16,106.67 and 10,002.09

Step by Step Solution

1. Step 1: Write the proportion equation
   11,664.21 : 16,106.67 = 10,002.09 : x
2. Step 2: Convert to fraction form
   11,664.21/16,106.67 = 10,002.09/x
3. Step 3: Cross multiply
   11,664.21x = 16,106.67 × 10,002.09
4. Step 4: Simplify right side
   11,664.21x = 161,100,362.94
5. Step 5: Solve for x
   x = 161,100,362.94/11,664.21
6. Step 6: Final answer
   x = 13,811.51