Finding the Fourth Proportional to 10,200.76, 14,075.71 and 5,724.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,200.76 : 14,075.71 = 5,724.49 : x
2. Step 2: Convert to fraction form
   10,200.76/14,075.71 = 5,724.49/x
3. Step 3: Cross multiply
   10,200.76x = 14,075.71 × 5,724.49
4. Step 4: Simplify right side
   10,200.76x = 80,576,261.14
5. Step 5: Solve for x
   x = 80,576,261.14/10,200.76
6. Step 6: Final answer
   x = 7,899.04