Finding the Fourth Proportional to 5,322.25, 7,978.72 and 2,200.30

Step by Step Solution

1. Step 1: Write the proportion equation
   5,322.25 : 7,978.72 = 2,200.30 : x
2. Step 2: Convert to fraction form
   5,322.25/7,978.72 = 2,200.30/x
3. Step 3: Cross multiply
   5,322.25x = 7,978.72 × 2,200.30
4. Step 4: Simplify right side
   5,322.25x = 17,555,577.62
5. Step 5: Solve for x
   x = 17,555,577.62/5,322.25
6. Step 6: Final answer
   x = 3,298.53