Finding the Fourth Proportional to 6,587.82, 9,883.55 and 3,809.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,587.82 : 9,883.55 = 3,809.42 : x
2. Step 2: Convert to fraction form
   6,587.82/9,883.55 = 3,809.42/x
3. Step 3: Cross multiply
   6,587.82x = 9,883.55 × 3,809.42
4. Step 4: Simplify right side
   6,587.82x = 37,650,593.04
5. Step 5: Solve for x
   x = 37,650,593.04/6,587.82
6. Step 6: Final answer
   x = 5,715.18