Finding the Fourth Proportional to 11,005.64, 15,196.50 and 10,166.03

Step by Step Solution

1. Step 1: Write the proportion equation
   11,005.64 : 15,196.50 = 10,166.03 : x
2. Step 2: Convert to fraction form
   11,005.64/15,196.50 = 10,166.03/x
3. Step 3: Cross multiply
   11,005.64x = 15,196.50 × 10,166.03
4. Step 4: Simplify right side
   11,005.64x = 154,488,074.90
5. Step 5: Solve for x
   x = 154,488,074.90/11,005.64
6. Step 6: Final answer
   x = 14,037.17