Finding the Fourth Proportional to 7,075.76, 10,586.20 and 5,105.92

Step by Step Solution

1. Step 1: Write the proportion equation
   7,075.76 : 10,586.20 = 5,105.92 : x
2. Step 2: Convert to fraction form
   7,075.76/10,586.20 = 5,105.92/x
3. Step 3: Cross multiply
   7,075.76x = 10,586.20 × 5,105.92
4. Step 4: Simplify right side
   7,075.76x = 54,052,264.77
5. Step 5: Solve for x
   x = 54,052,264.77/7,075.76
6. Step 6: Final answer
   x = 7,639.08