Finding the Fourth Proportional to 6,362.82, 9,533.97 and 3,442.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,362.82 : 9,533.97 = 3,442.50 : x
2. Step 2: Convert to fraction form
   6,362.82/9,533.97 = 3,442.50/x
3. Step 3: Cross multiply
   6,362.82x = 9,533.97 × 3,442.50
4. Step 4: Simplify right side
   6,362.82x = 32,820,691.73
5. Step 5: Solve for x
   x = 32,820,691.73/6,362.82
6. Step 6: Final answer
   x = 5,158.20