Finding the Fourth Proportional to 5,535.30, 7,641.50 and 3,649.62

Step by Step Solution

1. Step 1: Write the proportion equation
   5,535.30 : 7,641.50 = 3,649.62 : x
2. Step 2: Convert to fraction form
   5,535.30/7,641.50 = 3,649.62/x
3. Step 3: Cross multiply
   5,535.30x = 7,641.50 × 3,649.62
4. Step 4: Simplify right side
   5,535.30x = 27,888,514.77
5. Step 5: Solve for x
   x = 27,888,514.77/5,535.30
6. Step 6: Final answer
   x = 5,038.31