Finding the Fourth Proportional to 10,005.76, 15,008.09 and 5,075.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005.76 : 15,008.09 = 5,075.27 : x
2. Step 2: Convert to fraction form
   10,005.76/15,008.09 = 5,075.27/x
3. Step 3: Cross multiply
   10,005.76x = 15,008.09 × 5,075.27
4. Step 4: Simplify right side
   10,005.76x = 76,170,033.89
5. Step 5: Solve for x
   x = 76,170,033.89/10,005.76
6. Step 6: Final answer
   x = 7,612.62