Finding the Fourth Proportional to 9,106.91, 12,564.64 and 5,127.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,106.91 : 12,564.64 = 5,127.25 : x
2. Step 2: Convert to fraction form
   9,106.91/12,564.64 = 5,127.25/x
3. Step 3: Cross multiply
   9,106.91x = 12,564.64 × 5,127.25
4. Step 4: Simplify right side
   9,106.91x = 64,422,020.16
5. Step 5: Solve for x
   x = 64,422,020.16/9,106.91
6. Step 6: Final answer
   x = 7,073.97