Finding the Fourth Proportional to 6,097.89, 9,145.47 and 3,633.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,097.89 : 9,145.47 = 3,633.42 : x
2. Step 2: Convert to fraction form
   6,097.89/9,145.47 = 3,633.42/x
3. Step 3: Cross multiply
   6,097.89x = 9,145.47 × 3,633.42
4. Step 4: Simplify right side
   6,097.89x = 33,229,333.61
5. Step 5: Solve for x
   x = 33,229,333.61/6,097.89
6. Step 6: Final answer
   x = 5,449.32