Finding the Fourth Proportional to 6,404.19, 9,599.69 and 2,454.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,404.19 : 9,599.69 = 2,454.38 : x
2. Step 2: Convert to fraction form
   6,404.19/9,599.69 = 2,454.38/x
3. Step 3: Cross multiply
   6,404.19x = 9,599.69 × 2,454.38
4. Step 4: Simplify right side
   6,404.19x = 23,561,247.38
5. Step 5: Solve for x
   x = 23,561,247.38/6,404.19
6. Step 6: Final answer
   x = 3,679.04