Finding the Fourth Proportional to 5,632.80, 7,768.55 and 4,219.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,632.80 : 7,768.55 = 4,219.82 : x
2. Step 2: Convert to fraction form
   5,632.80/7,768.55 = 4,219.82/x
3. Step 3: Cross multiply
   5,632.80x = 7,768.55 × 4,219.82
4. Step 4: Simplify right side
   5,632.80x = 32,781,822.72
5. Step 5: Solve for x
   x = 32,781,822.72/5,632.80
6. Step 6: Final answer
   x = 5,819.81