Finding the Fourth Proportional to 10,289.50, 14,199.61 and 5,573.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,289.50 : 14,199.61 = 5,573.89 : x
2. Step 2: Convert to fraction form
   10,289.50/14,199.61 = 5,573.89/x
3. Step 3: Cross multiply
   10,289.50x = 14,199.61 × 5,573.89
4. Step 4: Simplify right side
   10,289.50x = 79,147,064.18
5. Step 5: Solve for x
   x = 79,147,064.18/10,289.50
6. Step 6: Final answer
   x = 7,692.02