Finding the Fourth Proportional to 5,665.47, 7,821.90 and 3,649.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,665.47 : 7,821.90 = 3,649.78 : x
2. Step 2: Convert to fraction form
   5,665.47/7,821.90 = 3,649.78/x
3. Step 3: Cross multiply
   5,665.47x = 7,821.90 × 3,649.78
4. Step 4: Simplify right side
   5,665.47x = 28,548,214.18
5. Step 5: Solve for x
   x = 28,548,214.18/5,665.47
6. Step 6: Final answer
   x = 5,038.98