Finding the Fourth Proportional to 9,186.03, 12,677.71 and 5,206.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,186.03 : 12,677.71 = 5,206.72 : x
2. Step 2: Convert to fraction form
   9,186.03/12,677.71 = 5,206.72/x
3. Step 3: Cross multiply
   9,186.03x = 12,677.71 × 5,206.72
4. Step 4: Simplify right side
   9,186.03x = 66,009,222.82
5. Step 5: Solve for x
   x = 66,009,222.82/9,186.03
6. Step 6: Final answer
   x = 7,185.83