Finding the Fourth Proportional to 5,635.34, 7,780.31 and 3,619.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,635.34 : 7,780.31 = 3,619.56 : x
2. Step 2: Convert to fraction form
   5,635.34/7,780.31 = 3,619.56/x
3. Step 3: Cross multiply
   5,635.34x = 7,780.31 × 3,619.56
4. Step 4: Simplify right side
   5,635.34x = 28,161,309.94
5. Step 5: Solve for x
   x = 28,161,309.94/5,635.34
6. Step 6: Final answer
   x = 4,997.27