Finding the Fourth Proportional to 6,413, 8,849.94 and 3,618.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,413 : 8,849.94 = 3,618.50 : x
2. Step 2: Convert to fraction form
   6,413/8,849.94 = 3,618.50/x
3. Step 3: Cross multiply
   6,413x = 8,849.94 × 3,618.50
4. Step 4: Simplify right side
   6,413x = 32,023,507.89
5. Step 5: Solve for x
   x = 32,023,507.89/6,413
6. Step 6: Final answer
   x = 4,993.53