Finding the Fourth Proportional to 10,289.88, 14,200.16 and 5,574.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,289.88 : 14,200.16 = 5,574.28 : x
2. Step 2: Convert to fraction form
   10,289.88/14,200.16 = 5,574.28/x
3. Step 3: Cross multiply
   10,289.88x = 14,200.16 × 5,574.28
4. Step 4: Simplify right side
   10,289.88x = 79,155,667.88
5. Step 5: Solve for x
   x = 79,155,667.88/10,289.88
6. Step 6: Final answer
   x = 7,692.57