Finding the Fourth Proportional to 12,185.31, 18,274.24 and 5,165.19

Step by Step Solution

1. Step 1: Write the proportion equation
   12,185.31 : 18,274.24 = 5,165.19 : x
2. Step 2: Convert to fraction form
   12,185.31/18,274.24 = 5,165.19/x
3. Step 3: Cross multiply
   12,185.31x = 18,274.24 × 5,165.19
4. Step 4: Simplify right side
   12,185.31x = 94,389,863.11
5. Step 5: Solve for x
   x = 94,389,863.11/12,185.31
6. Step 6: Final answer
   x = 7,746.20