Finding the Fourth Proportional to 9,106.56, 12,568.18 and 5,128.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,106.56 : 12,568.18 = 5,128.42 : x
2. Step 2: Convert to fraction form
   9,106.56/12,568.18 = 5,128.42/x
3. Step 3: Cross multiply
   9,106.56x = 12,568.18 × 5,128.42
4. Step 4: Simplify right side
   9,106.56x = 64,454,905.68
5. Step 5: Solve for x
   x = 64,454,905.68/9,106.56
6. Step 6: Final answer
   x = 7,077.85