Finding the Fourth Proportional to 10,290.19, 14,200.50 and 5,574.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,290.19 : 14,200.50 = 5,574.46 : x
2. Step 2: Convert to fraction form
   10,290.19/14,200.50 = 5,574.46/x
3. Step 3: Cross multiply
   10,290.19x = 14,200.50 × 5,574.46
4. Step 4: Simplify right side
   10,290.19x = 79,160,119.23
5. Step 5: Solve for x
   x = 79,160,119.23/10,290.19
6. Step 6: Final answer
   x = 7,692.78