Finding the Fourth Proportional to 11,905.82, 16,392.57 and 10,109.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,905.82 : 16,392.57 = 10,109.75 : x
2. Step 2: Convert to fraction form
   11,905.82/16,392.57 = 10,109.75/x
3. Step 3: Cross multiply
   11,905.82x = 16,392.57 × 10,109.75
4. Step 4: Simplify right side
   11,905.82x = 165,724,702.59
5. Step 5: Solve for x
   x = 165,724,702.59/11,905.82
6. Step 6: Final answer
   x = 13,919.64