Finding the Fourth Proportional to 10,289.98, 14,200.15 and 5,574.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,289.98 : 14,200.15 = 5,574.30 : x
2. Step 2: Convert to fraction form
   10,289.98/14,200.15 = 5,574.30/x
3. Step 3: Cross multiply
   10,289.98x = 14,200.15 × 5,574.30
4. Step 4: Simplify right side
   10,289.98x = 79,155,896.15
5. Step 5: Solve for x
   x = 79,155,896.15/10,289.98
6. Step 6: Final answer
   x = 7,692.52