Finding the Fourth Proportional to 10,289.86, 14,200.02 and 5,574.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,289.86 : 14,200.02 = 5,574.15 : x
2. Step 2: Convert to fraction form
   10,289.86/14,200.02 = 5,574.15/x
3. Step 3: Cross multiply
   10,289.86x = 14,200.02 × 5,574.15
4. Step 4: Simplify right side
   10,289.86x = 79,153,041.48
5. Step 5: Solve for x
   x = 79,153,041.48/10,289.86
6. Step 6: Final answer
   x = 7,692.34