Finding the Fourth Proportional to 9,106.07, 12,566.25 and 5,127.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,106.07 : 12,566.25 = 5,127.57 : x
2. Step 2: Convert to fraction form
   9,106.07/12,566.25 = 5,127.57/x
3. Step 3: Cross multiply
   9,106.07x = 12,566.25 × 5,127.57
4. Step 4: Simplify right side
   9,106.07x = 64,434,326.51
5. Step 5: Solve for x
   x = 64,434,326.51/9,106.07
6. Step 6: Final answer
   x = 7,075.98