Finding the Fourth Proportional to 11,900.30, 17,858.68 and 4,109.14

Step by Step Solution

1. Step 1: Write the proportion equation
   11,900.30 : 17,858.68 = 4,109.14 : x
2. Step 2: Convert to fraction form
   11,900.30/17,858.68 = 4,109.14/x
3. Step 3: Cross multiply
   11,900.30x = 17,858.68 × 4,109.14
4. Step 4: Simplify right side
   11,900.30x = 73,383,816.34
5. Step 5: Solve for x
   x = 73,383,816.34/11,900.30
6. Step 6: Final answer
   x = 6,166.55