Finding the Fourth Proportional to 12,185.28, 18,279.84 and 5,165.31

Step by Step Solution

1. Step 1: Write the proportion equation
   12,185.28 : 18,279.84 = 5,165.31 : x
2. Step 2: Convert to fraction form
   12,185.28/18,279.84 = 5,165.31/x
3. Step 3: Cross multiply
   12,185.28x = 18,279.84 × 5,165.31
4. Step 4: Simplify right side
   12,185.28x = 94,421,040.35
5. Step 5: Solve for x
   x = 94,421,040.35/12,185.28
6. Step 6: Final answer
   x = 7,748.78