Finding the Fourth Proportional to 5,635.56, 7,776.18 and 3,646.20

Step by Step Solution

1. Step 1: Write the proportion equation
   5,635.56 : 7,776.18 = 3,646.20 : x
2. Step 2: Convert to fraction form
   5,635.56/7,776.18 = 3,646.20/x
3. Step 3: Cross multiply
   5,635.56x = 7,776.18 × 3,646.20
4. Step 4: Simplify right side
   5,635.56x = 28,353,507.52
5. Step 5: Solve for x
   x = 28,353,507.52/5,635.56
6. Step 6: Final answer
   x = 5,031.18