Finding the Fourth Proportional to 5,680.49, 7,837.49 and 3,663.05

Step by Step Solution

1. Step 1: Write the proportion equation
   5,680.49 : 7,837.49 = 3,663.05 : x
2. Step 2: Convert to fraction form
   5,680.49/7,837.49 = 3,663.05/x
3. Step 3: Cross multiply
   5,680.49x = 7,837.49 × 3,663.05
4. Step 4: Simplify right side
   5,680.49x = 28,709,087.71
5. Step 5: Solve for x
   x = 28,709,087.71/5,680.49
6. Step 6: Final answer
   x = 5,053.99