Finding the Fourth Proportional to 5,648.84, 7,796.32 and 3,665.15

Step by Step Solution

1. Step 1: Write the proportion equation
   5,648.84 : 7,796.32 = 3,665.15 : x
2. Step 2: Convert to fraction form
   5,648.84/7,796.32 = 3,665.15/x
3. Step 3: Cross multiply
   5,648.84x = 7,796.32 × 3,665.15
4. Step 4: Simplify right side
   5,648.84x = 28,574,663.34
5. Step 5: Solve for x
   x = 28,574,663.34/5,648.84
6. Step 6: Final answer
   x = 5,058.50