Finding the Fourth Proportional to 5,633.82, 7,778.50 and 3,510.20

Step by Step Solution

1. Step 1: Write the proportion equation
   5,633.82 : 7,778.50 = 3,510.20 : x
2. Step 2: Convert to fraction form
   5,633.82/7,778.50 = 3,510.20/x
3. Step 3: Cross multiply
   5,633.82x = 7,778.50 × 3,510.20
4. Step 4: Simplify right side
   5,633.82x = 27,304,101.37
5. Step 5: Solve for x
   x = 27,304,101.37/5,633.82
6. Step 6: Final answer
   x = 4,846.46