Finding the Fourth Proportional to 7,401.42, 10,208.57 and 5,637.24

Step by Step Solution

1. Step 1: Write the proportion equation
   7,401.42 : 10,208.57 = 5,637.24 : x
2. Step 2: Convert to fraction form
   7,401.42/10,208.57 = 5,637.24/x
3. Step 3: Cross multiply
   7,401.42x = 10,208.57 × 5,637.24
4. Step 4: Simplify right side
   7,401.42x = 57,548,130.96
5. Step 5: Solve for x
   x = 57,548,130.96/7,401.42
6. Step 6: Final answer
   x = 7,775.28