Finding the Fourth Proportional to 9,146.42, 13,722.41 and 3,878.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,146.42 : 13,722.41 = 3,878.69 : x
2. Step 2: Convert to fraction form
   9,146.42/13,722.41 = 3,878.69/x
3. Step 3: Cross multiply
   9,146.42x = 13,722.41 × 3,878.69
4. Step 4: Simplify right side
   9,146.42x = 53,224,915.53
5. Step 5: Solve for x
   x = 53,224,915.53/9,146.42
6. Step 6: Final answer
   x = 5,819.21