Finding the Fourth Proportional to 3,780.82, 5,663.67 and 3,002.14

Step by Step Solution

1. Step 1: Write the proportion equation
   3,780.82 : 5,663.67 = 3,002.14 : x
2. Step 2: Convert to fraction form
   3,780.82/5,663.67 = 3,002.14/x
3. Step 3: Cross multiply
   3,780.82x = 5,663.67 × 3,002.14
4. Step 4: Simplify right side
   3,780.82x = 17,003,130.25
5. Step 5: Solve for x
   x = 17,003,130.25/3,780.82
6. Step 6: Final answer
   x = 4,497.21