Finding the Fourth Proportional to 6,365.82, 9,538.47 and 3,445.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,365.82 : 9,538.47 = 3,445.50 : x
2. Step 2: Convert to fraction form
   6,365.82/9,538.47 = 3,445.50/x
3. Step 3: Cross multiply
   6,365.82x = 9,538.47 × 3,445.50
4. Step 4: Simplify right side
   6,365.82x = 32,864,798.39
5. Step 5: Solve for x
   x = 32,864,798.39/6,365.82
6. Step 6: Final answer
   x = 5,162.70