Finding the Fourth Proportional to 9,106.06, 12,564.57 and 5,127.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,106.06 : 12,564.57 = 5,127.34 : x
2. Step 2: Convert to fraction form
   9,106.06/12,564.57 = 5,127.34/x
3. Step 3: Cross multiply
   9,106.06x = 12,564.57 × 5,127.34
4. Step 4: Simplify right side
   9,106.06x = 64,422,822.34
5. Step 5: Solve for x
   x = 64,422,822.34/9,106.06
6. Step 6: Final answer
   x = 7,074.72