Finding the Fourth Proportional to 9,185.18, 12,675.69 and 5,205.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,185.18 : 12,675.69 = 5,205.98 : x
2. Step 2: Convert to fraction form
   9,185.18/12,675.69 = 5,205.98/x
3. Step 3: Cross multiply
   9,185.18x = 12,675.69 × 5,205.98
4. Step 4: Simplify right side
   9,185.18x = 65,989,388.63
5. Step 5: Solve for x
   x = 65,989,388.63/9,185.18
6. Step 6: Final answer
   x = 7,184.33