Finding the Fourth Proportional to 12,205.53, 18,304.56 and 5,185.40

Step by Step Solution

1. Step 1: Write the proportion equation
   12,205.53 : 18,304.56 = 5,185.40 : x
2. Step 2: Convert to fraction form
   12,205.53/18,304.56 = 5,185.40/x
3. Step 3: Cross multiply
   12,205.53x = 18,304.56 × 5,185.40
4. Step 4: Simplify right side
   12,205.53x = 94,916,373.90
5. Step 5: Solve for x
   x = 94,916,373.90/12,205.53
6. Step 6: Final answer
   x = 7,776.51