Finding the Fourth Proportional to 5,632.30, 7,769.82 and 3,644.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,632.30 : 7,769.82 = 3,644.56 : x
2. Step 2: Convert to fraction form
   5,632.30/7,769.82 = 3,644.56/x
3. Step 3: Cross multiply
   5,632.30x = 7,769.82 × 3,644.56
4. Step 4: Simplify right side
   5,632.30x = 28,317,575.18
5. Step 5: Solve for x
   x = 28,317,575.18/5,632.30
6. Step 6: Final answer
   x = 5,027.71