Finding the Fourth Proportional to 11,106.14, 16,667.94 and 5,179.97

Step by Step Solution

1. Step 1: Write the proportion equation
   11,106.14 : 16,667.94 = 5,179.97 : x
2. Step 2: Convert to fraction form
   11,106.14/16,667.94 = 5,179.97/x
3. Step 3: Cross multiply
   11,106.14x = 16,667.94 × 5,179.97
4. Step 4: Simplify right side
   11,106.14x = 86,339,345.82
5. Step 5: Solve for x
   x = 86,339,345.82/11,106.14
6. Step 6: Final answer
   x = 7,774.02