Finding the Fourth Proportional to 9,146.22, 13,724.60 and 3,880.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,146.22 : 13,724.60 = 3,880.82 : x
2. Step 2: Convert to fraction form
   9,146.22/13,724.60 = 3,880.82/x
3. Step 3: Cross multiply
   9,146.22x = 13,724.60 × 3,880.82
4. Step 4: Simplify right side
   9,146.22x = 53,262,614.14
5. Step 5: Solve for x
   x = 53,262,614.14/9,146.22
6. Step 6: Final answer
   x = 5,823.46