Finding the Fourth Proportional to 10,290.02, 14,200.20 and 5,574.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,290.02 : 14,200.20 = 5,574.31 : x
2. Step 2: Convert to fraction form
   10,290.02/14,200.20 = 5,574.31/x
3. Step 3: Cross multiply
   10,290.02x = 14,200.20 × 5,574.31
4. Step 4: Simplify right side
   10,290.02x = 79,156,281.36
5. Step 5: Solve for x
   x = 79,156,281.36/10,290.02
6. Step 6: Final answer
   x = 7,692.53