Finding the Fourth Proportional to 3,801.60, 5,683.20 and 3,763.20

Step by Step Solution

1. Step 1: Write the proportion equation
   3,801.60 : 5,683.20 = 3,763.20 : x
2. Step 2: Convert to fraction form
   3,801.60/5,683.20 = 3,763.20/x
3. Step 3: Cross multiply
   3,801.60x = 5,683.20 × 3,763.20
4. Step 4: Simplify right side
   3,801.60x = 21,387,018.24
5. Step 5: Solve for x
   x = 21,387,018.24/3,801.60
6. Step 6: Final answer
   x = 5,625.79