Finding the Fourth Proportional to 5,638.88, 7,776.61 and 3,647.36

Step by Step Solution

1. Step 1: Write the proportion equation
   5,638.88 : 7,776.61 = 3,647.36 : x
2. Step 2: Convert to fraction form
   5,638.88/7,776.61 = 3,647.36/x
3. Step 3: Cross multiply
   5,638.88x = 7,776.61 × 3,647.36
4. Step 4: Simplify right side
   5,638.88x = 28,364,106.57
5. Step 5: Solve for x
   x = 28,364,106.57/5,638.88
6. Step 6: Final answer
   x = 5,030.09