Finding the Fourth Proportional to 3,802.88, 5,663.68 and 3,780.80

Step by Step Solution

1. Step 1: Write the proportion equation
   3,802.88 : 5,663.68 = 3,780.80 : x
2. Step 2: Convert to fraction form
   3,802.88/5,663.68 = 3,780.80/x
3. Step 3: Cross multiply
   3,802.88x = 5,663.68 × 3,780.80
4. Step 4: Simplify right side
   3,802.88x = 21,413,241.34
5. Step 5: Solve for x
   x = 21,413,241.34/3,802.88
6. Step 6: Final answer
   x = 5,630.80