Finding the Fourth Proportional to 6,426.78, 9,633.60 and 3,647.59

Step by Step Solution

1. Step 1: Write the proportion equation
   6,426.78 : 9,633.60 = 3,647.59 : x
2. Step 2: Convert to fraction form
   6,426.78/9,633.60 = 3,647.59/x
3. Step 3: Cross multiply
   6,426.78x = 9,633.60 × 3,647.59
4. Step 4: Simplify right side
   6,426.78x = 35,139,423.02
5. Step 5: Solve for x
   x = 35,139,423.02/6,426.78
6. Step 6: Final answer
   x = 5,467.66