Finding the Fourth Proportional to 9,106.64, 12,568.36 and 5,128.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,106.64 : 12,568.36 = 5,128.53 : x
2. Step 2: Convert to fraction form
   9,106.64/12,568.36 = 5,128.53/x
3. Step 3: Cross multiply
   9,106.64x = 12,568.36 × 5,128.53
4. Step 4: Simplify right side
   9,106.64x = 64,457,211.31
5. Step 5: Solve for x
   x = 64,457,211.31/9,106.64
6. Step 6: Final answer
   x = 7,078.05