Finding the Fourth Proportional to 6,096.02, 9,142.67 and 3,631.55

Step by Step Solution

1. Step 1: Write the proportion equation
   6,096.02 : 9,142.67 = 3,631.55 : x
2. Step 2: Convert to fraction form
   6,096.02/9,142.67 = 3,631.55/x
3. Step 3: Cross multiply
   6,096.02x = 9,142.67 × 3,631.55
4. Step 4: Simplify right side
   6,096.02x = 33,201,999.37
5. Step 5: Solve for x
   x = 33,201,999.37/6,096.02
6. Step 6: Final answer
   x = 5,446.50