Finding the Fourth Proportional to 10,165.14, 14,017.59 and 6,182.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,165.14 : 14,017.59 = 6,182.37 : x
2. Step 2: Convert to fraction form
   10,165.14/14,017.59 = 6,182.37/x
3. Step 3: Cross multiply
   10,165.14x = 14,017.59 × 6,182.37
4. Step 4: Simplify right side
   10,165.14x = 86,661,927.89
5. Step 5: Solve for x
   x = 86,661,927.89/10,165.14
6. Step 6: Final answer
   x = 8,525.40