Finding the Fourth Proportional to 5,488.40, 7,577.61 and 4,227.23

Step by Step Solution

1. Step 1: Write the proportion equation
   5,488.40 : 7,577.61 = 4,227.23 : x
2. Step 2: Convert to fraction form
   5,488.40/7,577.61 = 4,227.23/x
3. Step 3: Cross multiply
   5,488.40x = 7,577.61 × 4,227.23
4. Step 4: Simplify right side
   5,488.40x = 32,032,300.32
5. Step 5: Solve for x
   x = 32,032,300.32/5,488.40
6. Step 6: Final answer
   x = 5,836.36