Finding the Fourth Proportional to 9,106.40, 12,566.86 and 5,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,106.40 : 12,566.86 = 5,127.50 : x
2. Step 2: Convert to fraction form
   9,106.40/12,566.86 = 5,127.50/x
3. Step 3: Cross multiply
   9,106.40x = 12,566.86 × 5,127.50
4. Step 4: Simplify right side
   9,106.40x = 64,436,574.65
5. Step 5: Solve for x
   x = 64,436,574.65/9,106.40
6. Step 6: Final answer
   x = 7,075.97