Finding the Fourth Proportional to 7,401.81, 10,213.37 and 4,215.24

Step by Step Solution

1. Step 1: Write the proportion equation
   7,401.81 : 10,213.37 = 4,215.24 : x
2. Step 2: Convert to fraction form
   7,401.81/10,213.37 = 4,215.24/x
3. Step 3: Cross multiply
   7,401.81x = 10,213.37 × 4,215.24
4. Step 4: Simplify right side
   7,401.81x = 43,051,784.68
5. Step 5: Solve for x
   x = 43,051,784.68/7,401.81
6. Step 6: Final answer
   x = 5,816.39