Finding the Fourth Proportional to 9,106.29, 12,567.02 and 5,128.65

Step by Step Solution

1. Step 1: Write the proportion equation
   9,106.29 : 12,567.02 = 5,128.65 : x
2. Step 2: Convert to fraction form
   9,106.29/12,567.02 = 5,128.65/x
3. Step 3: Cross multiply
   9,106.29x = 12,567.02 × 5,128.65
4. Step 4: Simplify right side
   9,106.29x = 64,451,821.48
5. Step 5: Solve for x
   x = 64,451,821.48/9,106.29
6. Step 6: Final answer
   x = 7,077.73