Finding the Fourth Proportional to 3,779.56, 5,222.24 and 3,646.48

Step by Step Solution

1. Step 1: Write the proportion equation
   3,779.56 : 5,222.24 = 3,646.48 : x
2. Step 2: Convert to fraction form
   3,779.56/5,222.24 = 3,646.48/x
3. Step 3: Cross multiply
   3,779.56x = 5,222.24 × 3,646.48
4. Step 4: Simplify right side
   3,779.56x = 19,042,793.72
5. Step 5: Solve for x
   x = 19,042,793.72/3,779.56
6. Step 6: Final answer
   x = 5,038.36