Finding the Fourth Proportional to 9,106.97, 12,567.33 and 5,127.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,106.97 : 12,567.33 = 5,127.57 : x
2. Step 2: Convert to fraction form
   9,106.97/12,567.33 = 5,127.57/x
3. Step 3: Cross multiply
   9,106.97x = 12,567.33 × 5,127.57
4. Step 4: Simplify right side
   9,106.97x = 64,439,864.29
5. Step 5: Solve for x
   x = 64,439,864.29/9,106.97
6. Step 6: Final answer
   x = 7,075.89