Finding the Fourth Proportional to 11,828.38, 16,327.83 and 7,111.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,828.38 : 16,327.83 = 7,111.75 : x
2. Step 2: Convert to fraction form
   11,828.38/16,327.83 = 7,111.75/x
3. Step 3: Cross multiply
   11,828.38x = 16,327.83 × 7,111.75
4. Step 4: Simplify right side
   11,828.38x = 116,119,445.00
5. Step 5: Solve for x
   x = 116,119,445.00/11,828.38
6. Step 6: Final answer
   x = 9,817.02