Finding the Fourth Proportional to 11,159.16, 15,384.24 and 10,814.10

Step by Step Solution

1. Step 1: Write the proportion equation
   11,159.16 : 15,384.24 = 10,814.10 : x
2. Step 2: Convert to fraction form
   11,159.16/15,384.24 = 10,814.10/x
3. Step 3: Cross multiply
   11,159.16x = 15,384.24 × 10,814.10
4. Step 4: Simplify right side
   11,159.16x = 166,366,709.78
5. Step 5: Solve for x
   x = 166,366,709.78/11,159.16
6. Step 6: Final answer
   x = 14,908.53