Finding the Fourth Proportional to 9,185.50, 12,677.06 and 5,153.44

Step by Step Solution

1. Step 1: Write the proportion equation
   9,185.50 : 12,677.06 = 5,153.44 : x
2. Step 2: Convert to fraction form
   9,185.50/12,677.06 = 5,153.44/x
3. Step 3: Cross multiply
   9,185.50x = 12,677.06 × 5,153.44
4. Step 4: Simplify right side
   9,185.50x = 65,330,468.09
5. Step 5: Solve for x
   x = 65,330,468.09/9,185.50
6. Step 6: Final answer
   x = 7,112.35