Finding the Fourth Proportional to 10,290.38, 14,200.79 and 5,574.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,290.38 : 14,200.79 = 5,574.69 : x
2. Step 2: Convert to fraction form
   10,290.38/14,200.79 = 5,574.69/x
3. Step 3: Cross multiply
   10,290.38x = 14,200.79 × 5,574.69
4. Step 4: Simplify right side
   10,290.38x = 79,164,974.13
5. Step 5: Solve for x
   x = 79,164,974.13/10,290.38
6. Step 6: Final answer
   x = 7,693.11