Finding the Fourth Proportional to 9,186.22, 12,677.20 and 5,601.36

Step by Step Solution

1. Step 1: Write the proportion equation
   9,186.22 : 12,677.20 = 5,601.36 : x
2. Step 2: Convert to fraction form
   9,186.22/12,677.20 = 5,601.36/x
3. Step 3: Cross multiply
   9,186.22x = 12,677.20 × 5,601.36
4. Step 4: Simplify right side
   9,186.22x = 71,009,522.30
5. Step 5: Solve for x
   x = 71,009,522.30/9,186.22
6. Step 6: Final answer
   x = 7,730.01