Finding the Fourth Proportional to 4,969.34, 6,856.35 and 3,200.30

Step by Step Solution

1. Step 1: Write the proportion equation
   4,969.34 : 6,856.35 = 3,200.30 : x
2. Step 2: Convert to fraction form
   4,969.34/6,856.35 = 3,200.30/x
3. Step 3: Cross multiply
   4,969.34x = 6,856.35 × 3,200.30
4. Step 4: Simplify right side
   4,969.34x = 21,942,376.91
5. Step 5: Solve for x
   x = 21,942,376.91/4,969.34
6. Step 6: Final answer
   x = 4,415.55