Finding the Fourth Proportional to 10,290.42, 14,200.72 and 5,814.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,290.42 : 14,200.72 = 5,814.24 : x
2. Step 2: Convert to fraction form
   10,290.42/14,200.72 = 5,814.24/x
3. Step 3: Cross multiply
   10,290.42x = 14,200.72 × 5,814.24
4. Step 4: Simplify right side
   10,290.42x = 82,566,394.25
5. Step 5: Solve for x
   x = 82,566,394.25/10,290.42
6. Step 6: Final answer
   x = 8,023.62