Finding the Fourth Proportional to 6,404.05, 9,599.50 and 2,454.24

Step by Step Solution

1. Step 1: Write the proportion equation
   6,404.05 : 9,599.50 = 2,454.24 : x
2. Step 2: Convert to fraction form
   6,404.05/9,599.50 = 2,454.24/x
3. Step 3: Cross multiply
   6,404.05x = 9,599.50 × 2,454.24
4. Step 4: Simplify right side
   6,404.05x = 23,559,416.61
5. Step 5: Solve for x
   x = 23,559,416.61/6,404.05
6. Step 6: Final answer
   x = 3,678.83