Finding the Fourth Proportional to 6,538.10, 9,024.90 and 3,885.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,538.10 : 9,024.90 = 3,885.50 : x
2. Step 2: Convert to fraction form
   6,538.10/9,024.90 = 3,885.50/x
3. Step 3: Cross multiply
   6,538.10x = 9,024.90 × 3,885.50
4. Step 4: Simplify right side
   6,538.10x = 35,066,203.83
5. Step 5: Solve for x
   x = 35,066,203.83/6,538.10
6. Step 6: Final answer
   x = 5,363.37