Finding the Fourth Proportional to 10,289.84, 14,199.96 and 5,574.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,289.84 : 14,199.96 = 5,574.12 : x
2. Step 2: Convert to fraction form
   10,289.84/14,199.96 = 5,574.12/x
3. Step 3: Cross multiply
   10,289.84x = 14,199.96 × 5,574.12
4. Step 4: Simplify right side
   10,289.84x = 79,152,281.04
5. Step 5: Solve for x
   x = 79,152,281.04/10,289.84
6. Step 6: Final answer
   x = 7,692.28